The classification of Leibniz superalgebras of nilindex n+m (m\neq 0)
| dc.creator | Gomez, J. R. | |
| dc.creator | Khudoyberdiyev, A. Kh. | |
| dc.creator | Omirov, B. A. | |
| dc.date | 2009-03-26 | |
| dc.date.accessioned | 2026-07-07T12:57:05Z | |
| dc.date.available | 2026-07-07T12:57:05Z | |
| dc.description | In this paper we investigate the description of the complex Leibniz superalgebras with nilindex n+m, where n and m ($m\neq 0$) are dimensions of even and odd parts, respectively. In fact, such superalgebras with characteristic sequence equal to $(n_1, ..., n_k | m_1, ..., m_s)$ (where $n_1+... +n_k=n, m_1+ ... + m_s=m$) for $n_1\geq n-1$ and $(n_1, ..., n_k | m)$ were classified in works \cite{FilSup}--\cite{C-G-O-Kh1}. Here we prove that in the case of $(n_1, ..., n_k| m_1, ..., m_s)$, where $n_1\leq n-2$ and $m_1 \leq m-1$ the Leibniz superalgebras have nilindex less than n+m. Thus, we complete the classification of Leibniz superalgebras with nilindex n+m. | |
| dc.description | 18 pages, this manuscript complete the classification of Leibniz superalgebras of nilindex n+m | |
| dc.identifier | https://arxiv.org/abs/0903.4604 | |
| dc.identifier | http://arxiv.org/abs/0903.4604 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224806 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17A32, 17B30, 17B70, 17A70 | |
| dc.title | The classification of Leibniz superalgebras of nilindex n+m (m\neq 0) | |
| dc.type | text |