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Uchino, Kyousuke
On the homology theoretical aspect of Rota-Baxter operators
arXiv:0710.4309
Description: Nijenhuis operator, R-matrix, algebras represented as a sum of subalgebras for associative algebras. Doesn't seem very substantial.
Ueno, Kenji
Introduction to conformal field theory with gauge symmetries
Preprint (?), 121 pp.
Availability: ueno.ps
Ufnarovskii, V. A.
On suitable matrices of second order
Mat. Issled. No. 90, Algebry i Kolca, 1986, 113-136, 149-150
MR 88j:17013
Description: 6x6 matrices satisfying A^2 = E. Related with the Winnie-The-Pooh problem.
On the finite-presentation of Hamiltonian algebras
Mat. Issled. No. 91, Strogo Regulyarnye Algebry i Topologii, 1987, 103-112
MR 89a:17025
An independence theorem and its consequences
DOI: 10.1070/SM1987v056n01ABEH003027
Math. USSR Sb. 56 (1987), N1, 121-129
Availability: MSB_56_1_A08.pdf
Introduction to noncommutative Grobner bases theory
Grobner bases and applications, LMS Lect. Notes Ser. 251, 1998, 259-280
MR 2000:16051
Description: Including Lie algebras.
Uglov, D.B.
The Lie algebra of the sl(2,C)-valued automorphic functions on a torus
Lett. Math. Phys. 31 (1994), no.1, 65-76
MR 95i:17021
Description: A family of current- or current-like algebras over sl(2). Their generators and defining relations.
Ulam, S.M.
A Collection of Mathematical Problems
Nauka, Moscow, 1964 (Russian translation)
Availability: Kolkhoz; collection.djvu
Problems in Modern Mathematics
John Wiley & Sons, 1964; paperback, 150 pp.
Availability: hardcopy (book)
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Ulm, V.
An Equivalence of Categories for Lie Color Algebras
Comm. Algebra 31 (2003), no. 7, 3271--3285
Description: Let k be a field with char k = p > 0 and G an abelian group with a bicharacter on G. For each p-(G, )-Lie color algebra L over k the p-universal enveloping algebra u(L) is a G-graded Hopf algebra, i.e., a Hopf algebra in the category kG of kG-comodules. In this paper we describe a subcategory of kG which is equivalent to the category of the finite dimensional p-(G, )-Lie color algebras over k.
Ulrich, James L.
Ore revisited: an algorithmic investigation of the simple commutator promise problem
math.GR/0612208
PhD Thesis
Description: Among other, whether every element in a group could be written as commutator.
Umble, Ronald
The Deformation Complex For DG Hopf Algebras
math.AT/0106266, 21 pages
J. Pure and Applied Algebra, 106 (1966), 199-222
Abstract: Let H be a differential graded Hopf algebra over a field k. This paper gives an explicit construction of a triple cochain complex that defines the Hochschild-Cartier cohomology of H. A certain truncation of this complex is the appropriate setting for deforming H as an H(q)-structure. The direct limit of all such truncations is the appropriate setting for deforming H as a strongly homotopy associative structure. Sign complications are systematically controlled. The connection between rational perturbation theory and the deformation theory of certain free commutative differential graded algebras is clarified.
Umeda, Toru
The Capelli identities a century after
AMS, 1998, 28 pp.
Availability: Kolkhoz' obmennik
Application of Koszul complex to Wronski relations for U(gl_n)
Comm. Math. Helv. 78 (2003), N4, 663-680
Abstract: Explicit relations between two families of central elements in the universal enveloping algebra $U(\frak{gl}_n)$ of the general linear Lie algebra $\frak{gl}_n$ are presented. The two families of central elements in question are the ones expressed respectively by the determinants and the permanents: the former are known as the Capelli elements, and the latter are the central elements obtained by Nazarov. The proofs given are based on the exactness of the Koszul complex and the Euler-Poincare' principle.
Availability: 2L45HAUPPWNJC6BE.pdf
Umirbaev, Ualbai U.
Approximation of free Lie algebras relative to inclusion
Tartu Riikl. Ul. Toimetised (Uchen. Zapiski Tartu Gos. Univ.) 878 (1990), 147-152; corrigendum: 899 (1990), 137-138
MR 91h:17005ab
Zentralblatt: 0798.17002
Description: Let A is a finitely generated subalgebra of a free Lie algebra L. Then f \in L iff f \in A + I for all ideals I of L of finite codimension.
Availability: hardcopy
Partial derivatives and endomorphisms of some relatively free Lie algebras
DOI: 10.1007/BF00973481
Sib. Math. J. 34 (1993), No.6, 1161-1170
Zentralblatt: 0805.17002
Availability: H57L643P2857265M.pdf
Universal derivations and subalgebras of free algebras
Availability: hardcopy
Defining relations for automorphism groups of free algebras
DOI: 10.1016/j.jalgebra.2007.01.044
J. Algebra 314 (2007), N1, 209-225
arXiv:math.RA/0607237
Umirbaev, U. U. and Shestakov, I. P.
Subalgebras and Automorphisms of Polynomial Rings
Doklady DAN 66(2002), N2, 266- (English)
Dokl. Akad. Nauk 386(2002), no. 6, 745--748 (Russian)
Unger, Thomas
Clifford algebra periodicity for central simple algebras with involution
Comm. Alg. 29(2001), N3, 1141-1152
Description: periodicty in the Brauer group.
Availability: 100001672.pdf
Unlu, Yusuf
Graded subalgebras associated with a subalgebra of a graded free Lie algebra
JPAA 37(1985), 103-110
Availability: hardcopy
Ünlü, Yusuf and Ekici, Naime
Quasi-primeness of lower central terms of an ideal in a free Lie algebra
DOI: 10.1016/0022-4049(86)90071-X
J. Pure Appl. Algebra 43 (1986), N3, 299-302
Availability: 1986-quasi.pdf
Unsin, Walther
Lie-algebren mit Idealisatorbedingung
Rend. Sem. Mat. Univ. Padova 49 (1973), 241--297
MR 51#10409
Description: This is apparently PhD thesis, referred to in the chapter of book by Amayo and Stewart about Lie algebras whose subalgebras are sub-ideals.
Unukovich, V.P.
Princip assimetrii i neekvivalentnosti
DAN BSSR 21(1977), N9, 809-812 (in Russian)
Description: Utter nonsense, apparently published as a joke.
Availability: Unukovich.djvu
Usefi, Hamid
Isomorphism invariants of restricted enveloping algebras
arXiv:0804.2281
Description: Every finite-dimensional abelian restricted Lie algebra over an algebraically closed field is determined by its restricted enveloping algebra.
Uteulieva, K.N.
Third-order homology of the nilpotent subalgebra $\scr L_1$ of a special Lie algebra (in Russian)
Matematicheskii Jurnal (Almaty) 2(2002), N1, 94-102
Availability: uteulieva.ps
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