@incollection{AST_1994__226__435_0,
author = {Zusmanovich, Paul},
title = {The second homology group of current {Lie} algebras},
booktitle = {$K$-theory - Strasbourg, 1992},
series = {Ast\'erisque},
pages = {435--452},
year = {1994},
publisher = {Soci\'et\'e math\'ematique de France},
number = {226},
language = {en},
url = {https://www.numdam.org/item/AST_1994__226__435_0/}
}
TY - CHAP AU - Zusmanovich, Paul TI - The second homology group of current Lie algebras BT - $K$-theory - Strasbourg, 1992 AU - Collectif T3 - Astérisque PY - 1994 SP - 435 EP - 452 IS - 226 PB - Société mathématique de France UR - https://www.numdam.org/item/AST_1994__226__435_0/ LA - en ID - AST_1994__226__435_0 ER -
Zusmanovich, Paul. The second homology group of current Lie algebras, dans $K$-theory - Strasbourg, 1992, Astérisque, no. 226 (1994), pp. 435-452. https://www.numdam.org/item/AST_1994__226__435_0/
[FT] , , Cyclic homology of algebras with quadratic relations, universal enveloping algebras and group algebras, Lect. Notes Math. 1289 (1986), 210-239.
[F] , Cohomology of infinite-dimensional Lie algebras, Consultants Bureau, N. Y., 1986.
[H] , Homologie des algèbres de Lie étendues a une algèbre commutative, Comm. Alg. 20 (1992), 1145-1166.
[J] , Structure and representations of Jordan algebras, AMS Colloquium Publ., 1968.
[Kac] , Infinite Dimensional Lie Algebras, Birkhäuser, Basel, 1983.
[Kas1] , A Künneth formula for the cyclic cohomology of -graded algebras, Math. Ann. 275 (1986), 683-699.
[Kas2] , L'homologie cyclique des algèbres enveloppantes, Invent. Math. 91 (1988), 221-251.
[KL] , , Extensions centrales d'algèbres de Lie, Ann. Inst. Fourier 32 (1982), 119-142.
[KS] , , Anwendungen der Homologietheorie der Liealgebren auf Zentralreihen und auf Präsentierungen, Comm. Math. Helv. 42 (1967), 297-306.
[LQ] , , Cyclic homology and Lie algebra homology of matrices, Comm. Math. Helv. 59 (1984), 565-591.
[S] , The second cohomology group for Kac-Moody Lie algebras and Kahler differentials, J. Algebra 125 (1989), 13-26.






