Simple decompositions of simple Lie superalgebras
| dc.creator | Tvalavadze, T. | |
| dc.date | 2005-09-03 | |
| dc.date.accessioned | 2026-07-07T05:22:56Z | |
| dc.date.available | 2026-07-07T05:22:56Z | |
| dc.description | In this paper we consider Lie superalgebras decomposable as the sum of two proper subalgebras. Any of these algebras has the form of the vector space sum $L=A+B$ where $A$ and $B$ are proper simple subalgebras which need not be ideals of $L$, and the sum need not be direct. The main result of this paper is the following: Let $S = {osp}(m,2n)$ be a Lie superalgebra such that $S=K+L$ where $K$, $L$ are two proper basic simple subalgebras. Then $m$ is even, $m=2k$ and $K \cong osp(2k-1,2n)$, $L \cong sl(k,n)$. | |
| dc.identifier | https://arxiv.org/abs/math/0509065 | |
| dc.identifier | http://arxiv.org/abs/math/0509065 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76250 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17B20 | |
| dc.title | Simple decompositions of simple Lie superalgebras | |
| dc.type | text |