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Obraztsov, Viatcheslav N.
An imbedding theorem for groups and its corollaries
URL: http://www.iop.org/EJ/abstract/0025-5734/66/2/A15 http://mi.mathnet.ru/eng/msb2990
DOI: 10.1070/SM1990v066n02ABEH001184
Math. USSR Sbornik 66 (1990), No.2, 541-553
MR 0997899
Zentralblatt: 0685.20030
Description: If A is nontrivial finite or countable group without an involution and n is sufficiently large fixed odd number, then there is a 2-generated simple group G containing A, such that every proper subgroup is either cyclic of order dividing n or is conjugate to a subgroup of A. In particular, there are Tarski-like monsters with both finite and infinite abelian subgroups. The methods are those of Olshanskii.
Availability: MSB_66_2_A15.pdf; hardcopy (first 4 pages only)
On a problem of P. Hall about groups isomorphic to all their non-trivial normal subgroups
DOI: 10.1112/S0024611597000270
Proc. LMS 75 (1997), N1, 79-98
MR 98c:2006
Description: Groups all whose sections are Tarski's monsters.
Availability: 79.pdf
Oda, Takayuki
Galois action on the nilpotent completion of the fundamental group of an algebaic curve
Preprint, RIMS
Availability: hardcopy
Odesskii, Alexander
Elliptic algebras
DOI: 10.1070/RM2002v057n06ABEH000573
math.QA/0303021
Russian Math. Surveys 57 (2002), N6, 1127-1162
Abstract: The survey is devoted to associative $\Z_{\ge0}$-graded algebras presented by n generators and n(n-1)/2 quadratic relations and satisfying the so-called Poincare-Birkhoff-Witt condition (PBW-algebras). We consider examples of such algebras depending on two continuous parameters (namely, on an elliptic curve and a point on this curve) which are flat deformations of the polynomial ring in n variables. Diverse properties of these algebras are described, together with their relations to integrable systems, deformation quantization, moduli spaces and other directions of modern investigations.
Odesskii, Alexander V. and Sokolov, Vladimir V.
Algebraic structures connected with pairs of compatible associative algebras
DOI: 10.1155/IMRN/2006/43734
Int. Math. Res. Notices 2006, Article ID 43734, 35 pages
arXiv:math.QA/0512499
Description: Two associative algebra structures are called compatible, if any their linear combinations is an associative algebra structure. Studied the case when one of the structures is semisimple. Related to Poisson algebras and deformations. Interesting.
Availability: 43734.pdf (published version)
Compatible Lie brackets related to elliptic curve
J. Math. Phys. 47 (2006), N1, 013506
arXiv:math.QA/0506503
Description: Lie algebra structures compatible with the direct sum of sl(n)'s and associated Poisson structures. The whole point is in the particular intricated form of these brackets, and not in the isomorphism classes of corresponding Lie algebras: as semisimple Lie algebras are rigid, all such brackets, as Lie algebras, are isomorphic to the initail direct sum of sl(n)'s.
Availability: JMathPhys_47_013506.pdf (published version); hardcopy
Integrable matrix equations related to pairs of compatible associative algebras
DOI: 10.1088/0305-4470/39/40/011
J. Phys. A: Math. Gen. 39 (2006), N40, 12447-12456
arXiv:math.QA/0604574
Pairs of compatible associative algebras, classical Yang-Baxter equation and quiver representations
DOI: 10.1007/s00220-007-0361-9
Comm. Math. Phys. 278 (2008), N1, 83-99
arXiv:math.QA/0611200
Odoni, R.W.K. and Stratton, A.E.
Structure of Bernstein algebras
Algèbres génétiques, Cah. Math., Montpellier 38, 117-125 (1989)
Zentralblatt: 0754.17028
Oehmke, Robert H.
Nodal noncommutative Jordan algebras
Trans. Amer. Math. Soc. 112 (1964), 416-431
MR 31#3469
Description: Related to simple modular Lie algebras (of Block).
Availability: 0.pdf
Ogievetsky, O.
On the homology of Poisson algebras of odd variables
Duke M.J. 54 (1987), N1, 27-40
Description: See Leites' exposition "Super K_i groups..."
Availability: 1987-54-manin.djvu (the whole volume)
Ogle, C.
Polynomially bounded cohomology and discrete groups
Journal of Pure and Applied Algebra Volume 195, Issue 2 , 15 January 2005, Pages 173-209
Description: A notion of polynomially bounded cohomology for groups.
Oh, Sei-Qwon
Poisson structures of multi-parameter symplectic and Euclidean spaces
arXiv:math.QA/0308047
Description: Poisson strutures on polynomial algebras, derivations.
Oh, Sei-Qwon and Park, Chun-Gil and Shin, Yong-Yeon
A Poincare-Birkhoff-Witt theorem for Poission enveloping algebras
Comm. Alg. 30(2002), N10, 4867-4887
O'Hara, Maureen
Liquidity and price discovery
J. of Finance LVIII(2003), N4, 1335-
Availability: hardcopy
Okassa, Euge`ne
Algebres de Jacobi et algebres de Lie-Rinehart-Jacobi
DOI: 10.1016/j.jpaa.2006.05.013
J. Pure Appl. Alg. 208 (2007), N3, 1071-1089
Abstract: We define the Jacobi 1-form and the Jacobi 2-form of a Jacobi algebra. We construct the Jacobi differential complex and describe Jacobi cohomology. We show that a Jacobi algebra determines a Lie-Rinehart-Jacobi algebra and that, conversely, a symplectic Lie-Rinehart-Jacobi algebra determines a Jacobi algebra structure on the base algebra.
Okhitin, Sergei V.
Konechnaya baziruemost' tojdestv ot dvuh peremennyh algebry Lie sl(2,k) nad polem nulevoi' harakteristiki
Algebra, Logika i Teoruya Chisel, Moscow, MGU, 1986, 70-74
Okninski, Jan
Semigroups of Matrices
World Sci., 1998
Description: One chapter entitled "generalized Tits alternative".
Availability: 50$ (sale)
Okninski, J. and Salwa, A.
Generalized Tits alternative for linear semigroups
DOI: 10.1016/0022-4049(95)00104-5
JPAA 103 (1995), 211-220
Okubo, Susumu
Deformation of the Lie-admissible pseudo-octonion algebra into the octonion algebra
Hadronic J. 1 (1978), 1383-1431
Zentralblatt: 0417.17012
Availability: 1978-deformation.pdf (preprint)
Octonions as 3x3 traceless matrices via a flexible Lie-admissible algebra
Hadronic J. 1 (1978), 1432-1465
Octonion, pseudoalternative, and Lie admissible algebras
Hadronic J. 2 (1979), 39-66
Description: An analogue of Cayley-Dickson process for Lie-admissible algebras with involution.
Some classes of flexible Lie-Jordan admissible algebras
Hadronic J. 4 (1981), 354-
Description: Some interesting examples of flexible Lie-admissible algebras, among them related with nodal noncommutative Jordan algebras. Probably put in more general context in later works.
Super-composition algebras
Algebras Groups Geom. 1 (1984), 62-108
Zentralblatt: 0539.17004
Description: Generalization of composition algebras to the super case.
Construction of non-associative algebras from representation modules of simple Lie algebras
AGG (1986), 60-127
Zentralblatt: 0618.17003
Description: Mappings between modules and Young diagrams.
Availability: hardcopy
Integrable dynamical systems with hierarchy. I: Formulation
J. Math. Phys. 30 (1989), No.4, 824-843
Zentralblatt: 0692.58013
Description: Some generalization (?) of Nijenhuis tensor.
Integrable dynamical systems with hierarchy. II: Solutions
J. Math. Phys. 30 (1989), No.5, 1043-1052
Zentralblatt: 0850.70172
The Nijenhuis tensor, BRST cohomology and related algebras
AGG 6 (1989), N1, 65-112
Zentralblatt: 0686.53033
Introduction to octonion and other non-associative algebras in physics
Cambridge Univ. Press, 1995, 136 p.
Zentralblatt: 0841.17001
Construction of Lie superalgebras from triple product systems
arXiv:math-ph/0306029, 8 pages
Description: KKT-like constructions.
Symmetric triality relations and structurable algebras
Linear Algebra Appl. 396 (2005), 189-222
Zentralblatt: 1066.17011
Description: Generalization of Freudenthal's magic square.
Algebras satisfying symmetric triality relations
Non-associative algebra and its applications, 313--321, Lect. Notes Pure Appl. Math., 246, Chapman & Hall/CRC, 2006
Okubo, Susumu and Kamiya, Noriaki
Jordan-Lie super algebra and Jordan-Lie triple system
J. Algebra 198 (1997), No.2, 388-411
Zentralblatt: 0892.17005
Quasi-classical Lie superalgebras and Lie supertriple systems
Comm. Algebra 30 (2002), N8, 3825-3850
Zentralblatt: 1027.17016
Abstract: Notions of quasi-classical Lie superalgebra as well as Lie supertriple systems have been given and studied with some examples. Its application to Yang-Baxter equation has also been given.
Okubo, Susumu and Myung, Hyo Chul
Some new classes of division algebras
Preprint, 1979, 19pp.
Description: Algebras of 3x3 traceless matrices with multiplication x*y = axy + (1-a)yx - 1/3 Tr(xy).
On the classification of simple flexible Lie-admissible algebras
Hadronic J. 2 (1979), 504-567
Description: Algebras with multiplication x*y = axy + byx + o(x,y)e where o is certain symmetric invariant bilinear form.
Availability: 1979-classification.pdf
Adjoint operators in Lie algebras and the classification of simple flexible Lie-admissible algebras
URL: http://ccdb4fs.kek.jp/cgi-bin/img_index?7909001 http://links.jstor.org/sici?sici=0002-9947%28198104%29264%3A2%3C459%3AAOILAA%3E2.0.CO%3B2-3
TAMS 264 (1981), 459-479
Description: Algebras of n x n traceless matrices with multiplication x*y = axy + (1-a)yx - 1/n Tr(xy).
Availability: 1981-adjoint.pdf
Olin, P.
Direct multiples and powers of modules
Fund. Math. 73(1971), 113-124
Description: First-order properties.
Oliveira, M.P. de
On commutation relations for 3-graded Lie algebras
New York J. Math. 7 (2001), 71-86
MR 2002k:17056
Description: Related to current algebras over sl(2)
On 3-graded Lie algebras in a pair of generators: a classification
J. Pure Appl. Alg. 178 (2003), N1, 73-85
On 3-graded Lie algebras, Jordan pairs and the canonical kernel function
Electron. Res. Announc. Amer. Math. Soc. 9 (2003), 142-151
Description: KKT-construction(s).
Oliveira e Silva, Tomas
Maximum excursion and stopping time record-holders for the 3x+1 problem: Computational results
Math. Comp. 68 (1999), 371-384
Availability: S0025-5718-99-01031-5.ps; hardcopy
Oliveira Ferreira, Vitor de
Constants of derivations on free associative algebras
Glasgow Mathematical Journal 44(2002), 177-183
Description: It is proved that the subalgebra of constants of a derivation on a free associative algebra in prime characteristic is free provided that some constraining conditions are satisfied. As a particular case, it follows that the constants of the partial derivatives on a free algebra form a free subalgebra. The main result is also applied in order to provide a simplified proof of a previous result by the author on extensions of tensor rings.
Oliveira, M. P. de and Luciano, O. O.
A characterization of 3-graded Lie algebras generated by a pair
J. Pure Appl. Alg. 176 (2002), N2-3, 175-194
Abstract: We prove that any 3-graded Lie algebra generated by an element of degree -1 and another of degree 1 over a field K of characteristic zero is isomorphic to a 3-graded Lie subalgebra of sl_2(K[t]/p(t)K[t]) endowed with its usual 3-gradation, for some p(t) \in K[t]. We also give a thorough description of the ideals in the free case.
Olkin, Ingram
A probabilistic proof of a theorem of Schur
Amer. Math. Monthly 92 (1985), No.1, 50-51
Description: Method of proving positive-semidefinitness of a matrix by proving that it is covariance matrix of appropriate random variable.
Availability: 0-150.pdf
Olshanetskii, M.A. and Perelomov, A.M.
Integrable systems and finite-diemsnional Lie algebras
Dinamicheskie Sistemy - 7, VINITI, 1987, 88-118
Dynamical Systems VII, Springer
Availability: hardcopy (scan from the Russain edition, in books); dynsyst-7.djvu (whole book, English edition)
Olshanskii, A.Yu. (=Ol'shanskij)
Izv. AN SSSR 33 (1969), 915-927
Math. USSR Izv. 3 (1969), 867-877
Description: A variety of group consists of finitely approximable groups iff it is generated by finite group with some specific properties.
Infinite groups with cyclic subgroups
Soviet Math. Dokl. 20 (1979), 343-346
Zentralblatt: 431.20025
Description: An infinite group, all whose proper subgroups are infinite cyclic, is constructed
Availability: hardcopy
Groups with cyclic subgroups
C. R. Acad. Bulg. Sci. 32 (1979), 1165-1166
Availability: hardcopy
An infinite simple Noetherian group without torsion
DOI: 10.1070/IM1980v015n03ABEH001268
Math USSR Izv. 15 (1980), N3, 531-588
MR 567039
Zentralblatt: 0431.20027
Description: Infinite group all whose proper subgroups are infinite cyclic; concrete combinatorial group theory nonsense.
Availability: IZV_15_3_A06.pdf
On the problem of the existence of an invariant mean on a group
DOI: 10.1070/RM1980v035n04ABEH001876
Rus. Math. Surv. 35 (1980), N4, 180-181
Description: There exist a non-amenable groups all whose proper subgroups are cyclic.
Availability: hardcopy
An infinite group with subgroups of prime orders
Math. USSR Izvestija 16 (1981), no. 2, 279--289
Izv. AN SSSR 44 (1980), 309-321
MR 571100
Zentralblatt: 0475.20025
Description: From the monster series; concrete combinatorial group theory horror.
Availability: UVA
Groups of bounded period with subgroups of prime order
DOI: 10.1007/BF02027230
Algebra and Logic 21 (1982), N5, 369-418
Zentralblatt: 524.20024
Description: An infinite group, all whose proper subgroups are cyclic of given prime exponent, is constructed.
Varieties in which all finite groups are abelian
DOI: 10.1070/SM1986v054n01ABEH002960
Math. USSR Sbornik 54 (1986), 57-80
Availability: MSB_54_1_A03.pdf
Efficient embeddings of countable groups
Vestnik MGU 1989, N2, 28-34
Description: 2-generated simple group which conatins a given family of nontrivial groups and is monster-like (see a complete formulation in arXiv:0711.0476).
The geometry of defining relations in groups
URL: olshanskii/Olshanskii_A_Yu__Geometriya_opredelyayuscshikh_sootnoshenii_v_gruppakh__Nauka_1989.djvu
Kluwer, 1991
Nauka, 1989 (in Russian)
Description: Monster(s).
Availability: lib.mexmat.ru (Russian edition); pp. 232-233,246-279 only (hardcopy); google books
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Olshanskii, A.Yu (=Ol'shanskij) and Shmelkin, A.L.(=Shmel'kin)
Infinite groups
Encyclopedia of Math. Sci., Vol. 37, Algebra IV, Springer, 1993, 1-
Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 37, 1989, 5-113
Zentralblatt: 0715.20002
Description: Equations over groups. Monsters are very sketchy, nothing except general formulations of properties.
Availability: google books; infinite-groups.tar (few random pages only); VR II Library (Iceland), 510.3 Enc
Olver, P.J.
Applications of Lie Groups to Differential Equations
URL: http://techlibrary.ru/books.htm http://www.newlibrary.ru/book/olver_p_/prilozhenija_grupp_li_k__differencialnym_uravnenijam.html http://lib.prometey.org/?id=14937&page=3
2nd ed., Springer, 1986
Availability: Kolkhoz; google books
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Equivalence, Invariants, and Symmetry
Cambridge U. Press, 1995
Availability: Kolkhoz; google books
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O'Meara, O.T.
Introduction to Quadratic Forms
Springer, 2000 (reprint of the 1973 edition); paperback, 342 pp.
Availability: hardcopy (book)
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A general isomorphism theory for linear groups
J. Algebra 44 (1977), N1, 93-142
Availability: 1977-general.pdf
Lectures on Linear Groups
AMS, 1988 (corrected reprint of the 1974 edition); paperback, 87 pp.
Avtomorfizmy klassicheckikh grupp (ed. Yu.I.Merzlyakov), Mir, 1976, 57- (in Russian)
Availability: hardcopy (book); Kolkhoz (Russian translation)
Omladic, Matjaz and Radjavi, Heydar and Semrl, Peter
Preserving commutativity
J. Pure Appl. Algebra 156(2001), 309-328
Abstract: Every commutativity preserving linear map on the algebra of all nxn matrices over an algebraically closed field F with characteristic 0 is either a Jordan automorphism multiplied by a nonzero constant and perturbed by a scalar type operator, or its image is commutative. The assumption of preserving commutativity can be reformulated as preserving zero Lie products. So, this theorem is an extension of the well-known result on the structure of Lie homomorphisms of matrix algebras. ***We first prove the result for the special case in which F is the complex field and then apply the transfer principle in Model Theoretic Algebra to extend it to the general case.***
Availability: science.pdf
Ondrus, Matthew and Wiesner, Emilie
Whittaker Modules for the Virasoro Algebra
arXiv:0805.2686
Onishchik, Arkadiy L.
Inclusions between transitive compact transformation groups
Doklady AN SSSR 129 (1959), 262-264
Availability: absent in Icelandic libraries
Transitive groups of transformations of compact homogeneous spaces
Doklady AN SSSR 124 (1959), N3, 520-523
Availability: Onishchik59.pdf
Inclusion relations between transitive compact transformation groups
Trudy Mosk. Matem. Obsch. 11 (1962), 199-242
AMS Transl. 50 (1966), 5-58
Description: Decomposition of simple Lie groups and Lie algebras into a sum of simple subalgebras (over R and C).
Availability: UVA
Semisimple decompositions of semisimple Lie algebras
Sov. Math. Dokl. 4 (1963), 519-522
Zentralblatt: 0125.29001
Availability: hardcopy
Connections with zero curvature and the de Rham theorem
Sov. Math. Dokl. 161 (1965), 1654-1657
Description: Question about integrability of some geometric structures resembling question about deformations of algebraic structures.
Availability: hardcopy
Some concepts and applications of non-abelian cohomology theory
Trudy Mosk. mat. obshchestva 17 (1967), 45-88 (in Russian)
Decompositions of reductive Lie groups
Math. USSR Sb. 9 (1969), 515-554
Availability: hardcopy
Lie superalgebras of vector fields
AMS Transl. 148 (1991), 87-97
Zentralblatt: 0752.17021
Topology of transitive transformation groups
Fizmatlit, Moscow, 1994 (in Russian); hardcover, 384 pp.
Johann Ambrosius Barth, Leipzig, 1994
Zentralblatt: 0841.57001 0796.57001
Availability: hardcopy (book)
On non-abelian cochain complexes
Voprosy teorii grupp i gomolog. algebry. Yaroslavl, 1998, 171-197
Real forms of Lie algebras
Lectures 2001, Brno, 34pp.
Availability: liealgebras yahoo group files; Onishchik.ps
Lectures on Real Semisimple Lie Algebras and Their Representations
URL: http://www.ems-ph.org/book.php?proj_nr=18&titleindex=1 http://www.ams.org/bookstore-getitem/isbn=3-03719-002-7
European Math. Soc. Publ. House, 2004, 100pp.
MR 2005b:17014
Zentralblatt: pre02052526
Review: Rutwig on amazon
Availability: 24 EUR
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Onishchik, A.L. and Khakimdjanov, Yu.B. (=Khakimdzhanov)
Semidirect sums of Lie algebras
DOI: DOI 10.1007/BF01461138
Math. Notes 18 (1975), 600-604
Zentralblatt: 0351.17006
Description: Description of a finite-dimensional Lie algebra, p=0, with a given radical.
Availability: hardcopy
Onishchik, A. and Sulanke, R.
Projective and Cayley-Klein Geometries
DOI: 10.1007/3-540-35645-2
Springer, 2006
Ooms, Alfons I.
On Lie algebras having a primitive universal enveloping algebra
DOI: 10.1016/0021-8693(74)90154-9
Journal of Algebra Volume 32, Issue 3, December 1974, Pages 488-500
Availability: 1974-lie.pdf
On Lie algebras with primitive envelopes, supplements
Proc. Amer. Math. Soc. 58 (1976), pp. 67-72
Availability: 1976-lie.pdf
On Frobenius Lie algebras
DOI: 10.1080/00927878008822445
Comm. Alg. 8 (1980), 13-52
Description: Lie algebras having f:L->K such that f([x,y]) is nondegenerate.
Availability: 780024838.pdf
The Frobenius semiradical of a Lie algebra
DOI: 10.1016/j.jalgebra.2003.11.004
J. Alg. 273 (2004), 274-287
Description: The sum of kernels of alternating bilinear forms over all forms realizing the minimal possible dimension of a kernel, for a given Lie algebra, is studied.
Availability: science.pdf
Ore, O.
Graphs and Their Uses
revised and updated edition, MAA, 1990; paperback, 153 pp.
Availability: hardcopy
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Orlov, A. Yu. and Winternitz, P.
$P_\infty $ algebra of symmetries of the Kadomtsev-Petviashvili equation, free fermions, and $2$-cocycles in the Lie algebra of pseudo-differential operators
Theor. Math. Phys. Volume 113, Issue 2; pp.1393-1417.
Ormerod, Paul and Roach, Andrew
The Medieval Inquisition: Scale-free Networks and the Suppression of Heresy
cond-mat/0306031
Physica A: Statistical Mech. Appl. 339(2004), N3-4, 645-652
Os, C.H. van
Inleiding tot de functietheorie
Noordhoff, Groningen - Batavia, 1935 (in Dutch); hardcover, 245 pp.
Availability: hardcopy (book)
Osborn, J. Marshall
Jordan and associative rings with nilpotent and invertible elements
DOI: 10.1016/0021-8693(70)90058-X
J. Alg. 15 (1970), 301-308
Varieties of algebras
Adv. Math. 8 (1972), 163-369
Description: General part does not contain anything really interesting.
Availability: hardcopy
The Lie-admissible mutation A(r,s) of an associative algebra A
Hadronic J. 5 (1982), 904-930
Availability: hardcopy
New simple infinite-dimensional Lie algebras of characteristic 0
DOI: 10.1006/jabr.1996.0352
J. Alg. 185 (1996), N3, 820-835
Description: Generalizations of Witt.
Osborn, J.M. and Racine, M.
Prime Jordan P.I. algebras with nonzero socle and Jordan division algebras
J. Alg. 62(1980), 249-261
Description: Some description of prime Jordan PI algebras.
Osborn, J. Marshall and Winter, David J.
Simple Lie Algebras
Comm. Alg. 31 (2003), N11, 5405-5420
Description: Another reasonings on the theme of Lie algebras of derivation of commutative algebra; algebras of the form L \otimes A with multiplication [a\otimes x, b\otimes y] = ax(b) \otimes y - by(a) \otimes x + ab \otimes [x,y] are considered.
Availability: 120023964.pdf; hardcopy
Osborn, J. Marshall and Zelmanov, Efim
Nonassociative algebras related to Hamiltonian operators in the formal calculus of variations
J. Pure Appl. Algebra 101, No.3, 335-352 (1995)
Zentralblatt: 0847.17001
Description: Filtered and associated graded algebras.
Osborn, J. Marshall and Zhao, Kaiming
A characterization of the Block Lie algebra and its q-forms in characteristic 0
J. Algebra 207 (1998), No.2, 367-408
Doubly Z-graded Lie algebras containing a Virasoro algebra
DOI: 10.1006/jabr.1999.7894
J. Alg. 219(1999), N1, 266-298
Availability: doubly.pdf
Doubly Z-graded Lie algebras containing a Heisenberg algebra
DOI: 10.1007/BF02366348
J. Math. Sci. 93 (1999), N6, 928-938
A characterization of certain loop Lie algebras
DOI: 10.1006/jabr.1999.7994
J. Algebra 221 (1999), No.1, 345-359
Description: Certain Z×Z-graded Lie algebras are shown to be isomorphic to one of the two smallest loop algebras F[t,t-1]\otimes sl(2) and l(2)(3) with appropriate grading.
Availability: loop.pdf
Infinite-dimensional Lie algebras of generalized Block type
Proc. Amer. Math. Soc. 127 (1999), 1641-1650.
A ZxZ-graded Lie algebras containing a Heisenberg algebra
Nonassociative Algebra and Its Applications (ed. R.Costa, A.Grishkov), M.Dekker, 2000, 259-
google books
A ZxZ-graded Lie algebras containing a Virasoro algebra and a Heisenberg algebra
Comm. Alg. 29 (2001), N4, 1677-1707
Availability: 100002127.pdf
Oseledets, Cyrill
Root direct limits of Lie superalgebras.
Groups, rings, Lie and Hopf algebras (St. John's, NF, 2001), 189--201, Math. Appl., 555, Kluwer Acad. Publ., Dordrecht, 2003
Osipov, A.A.
Extensions of the Krichever-Novikov superalgebras on the Ramond and Neveu-Schwarz closed superstring theory
Preprint JINR-E2-89-123, Feb 1989. 7pp.
Phys. Lett. B 225 (1989), 83-
Osipov, Edward P.
The central extension of Kac-Moody-Malcev algebras
DOI: 10.1007/BF00397055
Lett. Math. Phys. 18 91989), N1, 35-42
Ostapenko, Vadim
Endomorphisms of lattices of a Lie algebra over formal power series field
CRAS 315 (1992), 669-673
Availability: hardcopy
U_h(g,r) invariant quantization on some homogeneous manifolds
PhD Thesis, Bar-Ilan Univ., 1999, 64 pp.
arXiv:math.QA/0211081
Description: Deformations-quantizations, Schouten brackets, roots systems in classical Lie algebras, ...
Availability: hardcopy (in books); absent on amazon
Osterby, O. and Zlatev, Z.
Direct Methods for Sparse Matrices
Mir, 1987 (Russian translation from Lect. Notes Comp. Sci. 157 (1983)); paperback, 118 p.
Availability: hardcopy (book); absent in amazon; Kolkhoz' obmennik (Russian edition)
Ostheimer, G.
Practical algorithms for polycyclic matrix groups
J. Symb. Comput. 28 (1999), 361-379
Description: Algorithm for deciding Tits alternative.
Ostrik, V.V.
2-graduirovannye algebry Lie characteristici 3
Vestnik MGU 1999, N1, 54-55
Otto, Carolyn and Penkava, Michael
The moduli space of three dimensional Lie algebras
arXiv:math.QA/0510207
Contemporary Mathematics 419 (2006), 255--268
Ou, Shikun and Wang, Dengyin and Yao, Ruiping
Derivations of the Lie algebra of strictly upper triangular matrices over a commutative ring
DOI: 10.1016/j.laa.2007.02.003
Lin. Alg. Appl. 424 (2007), N2-3, 378-383
Oudom, J.M.
Diagonale et cup-produit en cohomologie des algebres de Leibniz
U.Montpellier, Prebulication 94-32
Ould Houcine, Abderezak
Geometric Group Theory. Geneva and Barcelona Conferences (ed. G.N. Arzhantseva et al.), Birkhauser, 2007, -119
Description: (Folklore) A group is embeddable into an ultrapower of another group iff it is embeddable in all it ultrapowers.
Availability: 2007-geometric-group-theory.pdf (whole book)
Ouellette, Diane Valérie
Schur complements and statistics
DOI: 10.1016/0024-3795(81)90232-9
Lin. Alg. Appl. 36 (1981), 187-295
Description: A big (partially historical) survey, including inverse of a block matrix.
Availability: 1981-schur.pdf; hardcopy
Ovando, Gabriela P.
Four dimensional symplectic Lie algebras
Beitrage Algebra Geom. 47 (2006), no. 2, 419--434
arXiv:math.DG/0407501
Two-step nilpotent Lie algebras with ad-invariant metrics and a special kind of skew-symmetric maps
DOI: 10.1142/S0219498807002557
J. Algebra and Its Applications 6 (2007), N6, 897-917
arXiv:math/0611789
Ovsienko, Valentin
Exotic deformation quantization
J. Diff. Geom. 45 (1997), 390-406
Description: Relations of star-product and extensions over Lie algebra of vector fields on the line.
Availability: 2_8.ps
Ovsienko, V. and Roger, C.
Deformations of Poisson brackets and extensions of Lie algebras of contact vector fields
DOI: 10.1070/RM1992v047n06ABEH000966
Russ. Math. Surv. Volume 47 (1992) Number 6 Pages 135-191
MR 1209146
Zentralblatt: 0795.58021
Extensions of the Virasoro group and the Virasoro algebra by modules of tensor densities on S^1
DOI: 10.1007/BF02509628
Funct. Anal. Appl. 30 (1996), N4, 290-291
Generalizations of Virasoro group and Virasoro algebra through extensions by modules of tensor-densities on S^1
Indag. Math. 9 (1998), 277-288
Zentralblatt: 0932.17029
Description: Abelian extensions of Virasoro by some modules of densities, and their, in its turn, central extensions.
Deforming the Lie algebra of vector fields on S^1 inside the Poisson algebra on T^*S^1
Comm. Math. Phys. 198 (1998), 97-110
Zentralblatt: 0924.17016
Deforming the Lie algebra of vector fields on S^1 inside the Lie algebra of pseudodifferential symbols on S^1
Differential Topology, Infinite-Dimensional Lie Algebras, and Applications: D. B. Fuchs' 60th Anniversary Collection, AMS Transl. 194 (1999), 211-236
arXiv:math.QA/9812074
MR 2000k:17025
Zentralblatt: pre01445478
Ovsienko, Valentin and Tabachnikov, Sergei
Projective Differential Geometry Old and New. From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups
URL: http://math.univ-lyon1.fr/~ovsienko/ http://www.math.psu.edu/tabachni/Books/books.html
Cambridge U. Press
Description: Low-dimensional cohomology of Lie algebras of vector fields in modules of tensor densities, etc.
Availability: BookPro.pdf; hardcopy [insonsistenly printed part of pages]
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Ovsyannikov, L.V.
Gruppovoi analiz differencialnykh uravnenii
(in Russian)
Availability: Kolkhoz
Ovsyannikov, A.J. and Shevrin, L.N.
Semigroups and their Subsemigroup Lattices
Kluwer Academic, Dordrecht (1996)
Ural University Publishers, Sverdlovsk, Part 1 (1990); Part 2 (1991)
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