The second cohomology of current algebras of general Lie algebras

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let $A$ be a unital commutative associative algebra over a field of characteristic zero, $\k$ be a Lie algebra, and $\z$ a vector space, considered as a trivial module of the Lie algebra $\g := A \otimes \k$. In this paper we give a description of the cohomology space $H^2(\g,\z)$ in terms of well accessible data associated to $A$ and $\k$. We also discuss the topological situation, where $A$ and $\k$ are locally convex algebras.
Some minor corrections have been made in this version

Keywords

Rings and Algebras, 17B56; 17B65

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/159907

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511260
 http://arxiv.org/abs/math/0511260

Collections

arXiv