(my) math reviews [(my) math stuff] [home] [search] 

    1993

  1. MR 93f:17033 V.V. Bavula, Calculation of H*(sl(2),M) with coefficients in a simple sl(2)-module, Funct. Anal. Appl. 26 (1992), no. 1, 45-46.
  2. MR 93f:17035 S. Chiu, Cohomology of graded Lie algebras of Cartan type of characteristic 0, Acta Math. Sinica 8 (1992), 17-25.
  3. MR 93m:17007 N.A. Koreshkov, An invariant of the algebra W_n, Soviet Math. (Izv. VUZ) 35 (1991), no.10, 36-38.

    4. 1994

  4. MR 94a:17021 C.Z. Zha, High order differential neighbourhoods in holomorphic mappings, Phys. Lett. B 288 (1992), 269-272.
  5. MR 94d:17028 S. Chiu, The cohomology of modular Lie algebras with coefficients in a restricted Verma module, Chinese Ann. Math. Ser. B 14 (1993), 77-84.
  6. MR 94e:17035 O.V. Manturov, Cohomology of a class of Lie algebras, Russian Math. Surveys 47 (1992), no. 6, 224-225.
  7. MR 94e:17038 Yu.Yu. Kochetkov and G.F. Post, Deformations of the infinite-dimensional nilpotent Lie algebra L_2, Funct. Anal. Appl. 26 (1992), no.4, 304-305.
  8. MR 94i:17009 A.I. Papistas, Automorphisms of free polynilpotent Lie algebras, Comm. Algebra 21 (1993), 4391-4395.
  9. MR 94i:17028 S.M. Skryabin, A contragredient 29-dimensional Lie algebra of characteristic 3, Siberian Math. J. 34 (1993), 548-554.
  10. MR 94j:17009 S. Chiu, On central elements of the restricted universal enveloping algebra of a restricted Cartan type Lie algebra, Northeast. Math. J. 8 (1992), 311-316.
  11. MR 94k:17038 K.V. Kozerenko, Main theorems of invariant theory for the Lie algebra sl(2) in the case of a field of finite characteristic, Unconventional Lie Algebras, 75-102, AMS, 1993.

    12. 1995

  12. MR 95b:17025 V. Coll, M. Gerstenhaber and S.D. Schack, Universal deformation formulas and breaking symmetry, J. Pure Appl. Algebra 90 (1993), 201-219.
  13. MR 95b:17027 P.B.A. Lecomte and C. Roger, Remarques sur la cohomologie de l'algèbre de Nijenhuis-Richardson, Comm. Algebra 22 (1994), 3053-3059.

    14. 2002

  14. MR 2002k:17038 E. Khmaladze, Homology of Lie algebras with Lambda/qLambda coefficients and exact sequences, Theory Appl. Categories 10 (2002), 113-126.
  15. Zbl 0989.17012 N. Poncin, Premiers espaces de la cohomologie de l'algèbre de Lie graduée de Nijenhuis-Richardson de l'espace des fonctions d'une variété, Bull. Belg. Math. Soc. - Simon Stevin 8 (2001), 141-146.
  16. Zbl 0995.17009 A. Larsson, A periodisation of semisimple Lie algebras, Homology Homotopy Appl. 4 (2002), 337-355.
  17. Zbl 0995.17010 P. Grozman, D. Leites and E. Poletaeva, Defining relations for classical Lie superalgebras without Cartan matrices, Homology Homotopy Appl. 4 (2002), 259-275.

    18. 2003

  18. MR 2003b:17010 F.J. Echarte, J. Núñez and M. Ordóñez, Derived filiform Lie algebras having first coefficient 0, An. Univ. Bucuresti Mat. 49 (2000), no. 2, 141-154.
  19. MR 2003f:17019 A. Dzhumadildaev and S.S. Ibraev, Nonsplit extensions of modular Lie algebras of rank 2, Homology Homotopy Appl. 4 (2002), 141-163.
  20. MR 2003j:17001 A. Majumdar and G. Mukherjee, Deformation theory of dialgebras, K-Theory 27 (2002), 33-60.
  21. MR 2003j:17024 N.A. Koreshkov, Casimir elements of Z-forms of modular Lie algebras, Russian Math. (Izv. VUZ) 46 (2002), no. 3, 28-31.
  22. MR 2003j:17025 N.A. Koreshkov, Central elements and invariants in modular Lie algebras, Russian Math. (Izv. VUZ) 46 (2002), no. 7, 20-24.
  23. Zbl 1003.17010 V.V. Zharinov, On the cohomologies of the Heisenberg algebras, Proc. Steklov Inst. Math. 228 (2000), 52-66.
  24. Zbl 1009.17017 C. Boyallian and J.I. Liberati, On modules over matrix quantum pseudo-differential operators, Lett. Math. Phys. 60 (2002), 73-85.
  25. Zbl 1010.33006 H. Airault and J. Ren, An algebra of diffential operators and generating functions on the set of univalent functions, Bull. Sci. Math. 126 (2002), 343-367.
  26. Zbl 1012.17014 N. Poncin, On the cohomology of the Nijenhuis-Richardson graded Lie algebra of the space of functions of a manifold, J. Algebra 243 (2001), 16-40.
  27. Zbl 1012.17015 J.A. de Azcárraga, J.M. Izquierdo and J.C. Pérez Bueno, An introduction to some novel applications of Lie algebra cohomology in mathematics and physics, Rev. Real Acad. Ciencias Ser. A Mat. 95 (2001), 225-248.
  28. Zbl 1016.06001 J. Neggers, Y.H. Kim, H.S. Kim, Incomparability and transitivity, Kyungpook Math. J. 42 (2002), 5-11.
  29. Zbl 1024.17016 S. Bouarroudj and V. Ovsienko, Schwarzian derivative related to modules of differential operators on a locally projective manifold, Poisson Geometry. Stanislaw Zakrzewski in Memoriam (ed J. Grabowski et al.), Banach Center Publ. 51 (2000), 15-23.
  30. Zbl 1026.17026 B. Agrebaoui, F. Ammar, P. Lecomte, and V. Ovsienko, Multi-parameter deformations of the module of symbols of differential operators, Int. Math. Res. Notices 2002, No.16, 847-869.

    31. 2004

  31. MR 2004c:17007 D.W. Barnes and D. Groves, The Wielandt subalgebra of a Lie algebra, J. Austral. Math. Soc. 74 (2003), 313-330.
  32. MR 2004f:17003 C. Jiménez-Gestal and J.M. Pérez-Izquierdo, Ternary derivations of generalized Cayley-Dickson algebras, Comm. Algebra 31 (2003), 5071-5094.
  33. MR 2004k:17039 V.V. Kornyak, A method for splitting cochain complexes for computing cohomology: the Lie algebra of Hamiltonian vector fields H(2|0), Program. Comput. Software 29 (2003), no. 2, 94-99.
  34. Zbl 1036.17018 H. Gargoubi and V. Ovsienko, Modules of differential operators on the real line, Funct. Anal. Appl. 35 (2001), no. 1, 13-18.
  35. Zbl 1036.17019 A. Milas, Formal differential operators, vertex operator algebras and zeta-values. I, II, J. Pure Appl. Algebra 183 (2003), 129-190, 191-244.
  36. Zbl 1038.17017 B. Agrebaoui, F. Ammar and P. Lecomte, On the cohomology of the spaces of differential operators acting on skewsymmetric tensor fields or on forms, as modules of the Lie algebra of vector fields, Diff. Geom. Appl. 20 (2004), 241-249.
  37. Zbl 1048.17010 A. Fialowski, Global deformations of Lie algebras, Rings, Modules, Algebras, and Abelian Groups (ed. A. Facchini et al.), Marcel Dekker, Lect. Notes Pure Appl. Math. 236 (2004), 177-188.
  38. Zbl 1050.17019 J. Draisma, On a conjecture of Sophus Lie, Differential Equations and the Stokes Phenomenon (ed. B.L.J. Braaksma et al.), World Scientific, 65-87, 2002.
  39. Zbl 1052.17011 A. Fialowski and M. Schlichenmaier, Global deformations of the Witt algebra of Krichever-Novikov type, Comm. Contemp. Math. 5 (2003), 921-945.

    40. 2005

  40. MR 2005c:17004 F. Kubo and Y. Taniguchi, A controlling cohomology of the deformation theory of Lie triple systems, J. Algebra 278 (2004), 242-250.
  41. MR 2005c:17026 N. Inassaridze, E. Khmaladze and M. Ladra, Non-abelian homology of Lie algebras, Glasgow Math. J. 46 (2004), 417-429.
  42. MR 2005g:16071 A. Nowicki and I. Nowosad, Local derivations of subrings of matrix rings, Acta Math. Hungar. 105 (2004), 145-150.
  43. MR 2005h:17057 P. Shumyatsky, A. Tamarozzi and L. Wilson, Z_n-graded Lie rings, J. Algebra 283 (2005), 149-160.
  44. MR 2005g:17032 C. Grunspan, Quantizations of the Witt algebra and of simple Lie algebras in characteristic p, J. Algebra 280 (2004), 145-161.
  45. MR 2005i:16013 A.I. Generalov, Hochschild cohomology of dihedral-type algebras. I. The D(3K) series in characteristic 2, St. Petersburg Math. J. 16 (2005), 961-1012.
  46. MR 2005m:16014 D. Tamarkin and B. Tsygan, The ring of differential operators on forms in noncommutative calculus, Graphs and Patterns in Mathematics and Theoretical Physics, 105-131, Proc. Sympos. Pure Math. 73, AMS, 2005.
  47. Zbl 1055.17009 B. Agrebaoui and N. Ben Fraj, On the cohomology of the Lie superalgebra of contact vector fields on S^{1|1}, Bull. Soc. Royale Sci. Liège 72 (2003), 365-375.
  48. Zbl 1055.17010 F. Wagemann, Explicit formulae for cocycles of holomorphic vector fields with values in lambda densities, J. Lie Theory 11 (2001), 173-184.
  49. Zbl 1055.17011 A. Dzhumadildaev, N-commutators, Comm. Math. Helv. 79 (2004), 516-553.
  50. Zbl 1056.17020 C.H. Conley, Bounded length 3 representations of the Virasoro Lie algebra, Int. Math. Res. Notices 2001, No.12, 609-628.
  51. Zbl 1061.17022 B. Lass, On the combinatorics of the graph-complex, Comptes Rendus Acad. Sci. Paris 334 (2002), 1-6.
  52. Zbl 1062.17014 S. Bouarroudj, Cohomology of the vector fields Lie algebras on RP^1 acting on bilinear differential operators, Int. J. Geom. Methods Modern Phys. 2 (2005), 23-40.
  53. Zbl 1066.17010 Y. Kim, The Lie algebra cohomology of jets, J. Lie Theory 14 (2004), 271-286.
  54. Zbl 1066.17014 M. Schlichenmaier and O.K. Sheinman, The Knizhnik-Zamolodchikov equations for positive genus, and Krichever-Novikov algebras, Russ. Math. Surv. 59 (2004), 737-770.

    55. 2006

  55. MR 2006e:16018 V.V. Zharinov, Hochschild cohomology of the algebra of smooth functions, Theoret. Math. Phys. 140 (2004), 1195-1204.
  56. MR 2006e:16048 D.I. Piontkovskii, Koszul algebras and their ideals, Funct. Anal. Appl. 39 (2005), 120-130.
  57. MR 2006e:17023 J. Zha and J. Hu, Certain classes of automorphisms of infinite rank affine Lie algebras, Comm. Algebra 33 (2005), 1893-1901.
  58. MR 2006f:16019 S.V. Lapin, D_infty-differentials and A_infty-structures in spectral sequences, J. Math. Sci. 123 (2004), 4221-4254.
  59. MR 2006h:17032 W. Lin and S. Tan, Central extensions and derivations of the Lie algebras of skew derivations for the quantum torus, Comm. Algebra 33 (2005), 3919-3938.
  60. MR 2006j:17005 G. Moreno, Monomorphisms between Cayley-Dickson algebras, Non-associative algebra and its applications, Lect. Notes Pure Appl. Math. 246, Chapman & Hall/CRC, 2006, 281-289.
  61. MR 2006m:16010 V. Dolgushev, A formality theorem for Hochschild chains, Adv. Math. 200 (2006), 51-101.
  62. MR 2006m:17019 M. Lau, On universal central extensions of sl_n(A), Infinite-dimensional aspects of representation theory and applications, Contemp. Math. 392 (2005), 43-54.
  63. Zbl 1080.17010 S. Hansoul and P. Lecomte, Affine representations of Lie algebras and geometric interpretation in the case of smooth manifolds, Int. Math. Res. Notices 2005, No.16, 981-1003.
  64. Zbl 1080.17013 P. Grozman, D. Leites and I. Shchepochkina, Defining relations for the exceptional Lie superalgebras of vector fields, The Orbit Method in Geometry and Physics. In Honor of A.A. Kirillov (ed. C. Duval et al.), Birkhäuser, Progr. Math. 213 (2003), 101-146.
  65. Zbl 1094.17010 H. Gargoubi, P. Mathonet, and V. Ovsienko, Symmetries of modules of differential operators, J. Nonlin. Math. Phys. 12 (2005), 348-380.
  66. Zbl 1095.17008 E. Sköldberg, The homology of Heisenberg Lie algebras over fields of characteristic two, Math. Proc. Roy. Irish Acad. 105A (2005), no. 2, 47-49.
  67. Zbl 1097.17008 Y. Su, Classification of quasifinite modules over Lie algebras of matrix differential operators on the circle, Proc. Amer. Math. Soc. 133 (2005), 1949-1957.
  68. Zbl 1099.17012 T. Petit, On the strong rigidity of solvable Lie algebras, Noncommutative algebra and geometry. Selected papers of a conference in honor of Z. Borevich (ed. C. De Concini et al.), CRC Press, Lecture Notes in Pure and Applied Mathematics 243 (2005), 162-174.

    69. 2007

  69. MR 2007d:16018 E.A. Bezyakina and A.I. Generalov, Cocycles in the relative Hochschild cohomology (in Russian), Zap. Nauchn. Sem. POMI 330 (2006), 29-35.
  70. MR 2007d:17029 A.R. Linshaw, The cohomology algebra of the semi-infinite Weil complex, Comm. Math. Phys. 267 (2006), 13-23.
  71. MR 2007f:16020 M.V. Ladoshkin, A_infty-modules over A_infty algebras and the Hochschild cohomology complex for modules over algebras (in Russian), Mat. Zametki 79 (2006), N5, 717-728.
  72. MR 2007k:15045 G.R. Belitskii and V.V. Sergeichuk, Congruence of multilinear forms, Lin. Algebra Appl. 418 (2006), no. 2-3, 751-762.
  73. MR 2301242 N. Durov, S. Meljanac, A. Samsarov, and Z. Skoda, A universal formula for representing Lie algebra generators as formal power series with coefficients in the Weyl algebra, J. Algebra 309 (2007), N1, 318-359.
  74. Zbl 1104.17011 S. Bouarroudj and D. Leites, Simple Lie superalgebras and nonintegrable distributions in characteristic p, Zap. Nauchn. Sem. POMI 331 (2006), 15-29.
  75. Zbl 1106.16304 E. Horozov, Strictly nilpotent elements and bispectral operators in the Weyl algebra, Bull. Sci. Math. 126 (2002), 605-614.
  76. Zbl 1106.17006 V. Serganova, On representations of Cartan type Lie superalgebras, Lie Groups and Invariant Theory (ed. E. Vinberg), AMS, 2005, 223-239.
  77. Zbl 1106.17024 V.V. Kornyak, Cohomology of restricted Lie algebras of Hamiltonian vector fields: computer analysis, Program. Comput. Softw. 31 (2005), N2, 87-90.
  78. Zbl 1106.17025 A. Lebedev, D. Leites, and I. Shereshevskii, Lie superalgebra structures on C*(n,n) and H*(n,n), Lie Groups and Invariant Theory (ed. E. Vinberg), AMS, 2005, 157-172.
  79. Zbl 1106.17028 S. Michéa and G. Novitchkov, BV-generators and Lie algebroids, Int. J. Math. 16 (2005), No. 10, 1175-1191.
  80. Zbl 1106.17039 A. Milas, Correlation functions, differential operators and vertex operator algebras, Vertex Operator Algebras in Mathematics and Physics (ed. S. Berman et al.), AMS, Fields Inst. Commun. 39 (2003), 139-167.
  81. Zbl 1106.37038 T. Skrypnyk, Deformations of loop algebras and classical integrable systems: finite-dimensional Hamiltonian systems, Rev. Math. Phys. 16 (2004), 823-849.
  82. Zbl 1115.17009 N. Cantarini and V.G. Kac, Automorphisms and forms of simple infinite-dimensional linearly compact Lie superalgebras, Int. J. Geom. Methods Mod. Phys. 3 (2006), 845-867.
  83. Zbl 1119.17009 P.-A. Gié, G. Pinczon, and R. Ushirobira, The Amitsur-Levitzki theorem for the orthosymplectic Lie superalgebra osp(1,2n), J. Algebra Appl. 5 (2006), no. 3, 307-332.
  84. Zbl in preparation W.A. de Graaf, Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2, J. Algebra 309 (2007), 640-653.
  85. Zbl in preparation A. Fialowski, The moduli space and versal deformations of three dimensional Lie algebras, Algebras, rings and their representations, 79-91, World Sci. Publ., 2006.

    86. 2008

  86. Zbl 1128.17008 G. Karaali, Constructing r-matrices on simple Lie superalgebras, J. Algebra 282 (2004), 83-102.
  87. Zbl 1128.17017 C. Vizman, Central extensions of the Lie algebra of symplectic vector fields, J. Lie Theory 16 (2006), no. 2, 297-309.
  88. Zbl in preparation Y. Wu, G. Song, and Y. Su, Lie bialgebras of generalized Witt type, II, Comm. Algebra 35 (2007), 1992-2007.

created Apr 22 2006
last updated Fri Feb 29 08:29:03 GMT 2008