The second cohomology of current algebras of general Lie algebras
| dc.creator | Neeb, Karl-Hermann | |
| dc.creator | Wagemann, Friedrich | |
| dc.date | 2005-11-10 | |
| dc.date | 2008-04-29 | |
| dc.date.accessioned | 2026-07-07T09:35:40Z | |
| dc.date.available | 2026-07-07T09:35:40Z | |
| dc.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. | |
| dc.description | Some minor corrections have been made in this version | |
| dc.identifier | https://arxiv.org/abs/math/0511260 | |
| dc.identifier | http://arxiv.org/abs/math/0511260 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159907 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17B56; 17B65 | |
| dc.title | The second cohomology of current algebras of general Lie algebras | |
| dc.type | text |