On the classification of complex Leibniz superalgebras with characteristic sequence $(n-1, 1 | m_1, ..., m_k)$ and nilindex $n+m$
| dc.creator | Albeverio, S. | |
| dc.creator | Omirov, B. A. | |
| dc.creator | Khudoyberdiyev, A. Kh. | |
| dc.date | 2008-06-29 | |
| dc.date.accessioned | 2026-07-07T09:47:23Z | |
| dc.date.available | 2026-07-07T09:47:23Z | |
| dc.description | In this work we investigate the complex Leibniz superalgebras with characteristic sequence $(n-1, 1 | m_1, ..., m_k)$ and with nilindex equal to $n+m.$ We prove that such superalgebras with the condition $m_2\neq0$ have nilindex less than $n+m$. Therefore the complete classification of Leibniz algebras with characteristic sequence $(n-1, 1 | m_1, ..., m_k)$ and with nilindex equal to $n+m$ is reduced to the classification of filiform Leibniz superalgebras of nilindex equal to $n+m,$ which was provided in \cite{AOKh} and \cite{GKh}. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/0806.4743 | |
| dc.identifier | http://arxiv.org/abs/0806.4743 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163859 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Mathematical Physics | |
| dc.subject | 17A32; 17B30 | |
| dc.title | On the classification of complex Leibniz superalgebras with characteristic sequence $(n-1, 1 | m_1, ..., m_k)$ and nilindex $n+m$ | |
| dc.type | text |