Central extensions of current algebras

Details Central extensions of current algebras Central extensions of current algebras

2008-12-14

arxiv.org/abs/0812.2625v2

Trans. Amer. Math. Soc. 334 (1992), 143-152; Erratum and addendum: 362 (2010), 5601-5603

Mathematics

Rings and Algebras

v2: added "Erratum and addendum" (3 pages, to appear)

Scientific paper

10.2307/2153976; 10.1090/S0002-9

This is an old paper put here for archeological purposes. We compute the second cohomology of current Lie algebras of the form $L\otimes A$, where $L$ belongs to some class of Lie algebras which includes classical simple and Zassenhaus algebras, and of some modular semisimple Lie algebras. The results are largely superseded by subsequent papers, though, perhaps, some tricks and observations used here remain of minor interest.

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