On split Leibniz superalgebras
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911763167969280 |
|---|---|
| author | Calderón, Antonio J. Sánchez, José M. |
| author_facet | Calderón, Antonio J. Sánchez, José M. |
| contents | We study the structure of arbitrary split Leibniz superalgebras. We show that any of such superalgebras ${\frak L}$ is of the form ${\frak L} = {\mathcal U} + \sum_jI_j$ with ${\mathcal U}$ a subspace of an abelian (graded) subalgebra $H$ and any $I_j$ a well described (graded) ideal of ${\frak L}$ satisfying $[I_j,I_k] = 0$ if $j \neq k$. In the case of ${\frak L}$ being of maximal length, the simplicity of ${\frak L}$ is also characterized in terms of connections of roots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12886 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On split Leibniz superalgebras Calderón, Antonio J. Sánchez, José M. Rings and Algebras We study the structure of arbitrary split Leibniz superalgebras. We show that any of such superalgebras ${\frak L}$ is of the form ${\frak L} = {\mathcal U} + \sum_jI_j$ with ${\mathcal U}$ a subspace of an abelian (graded) subalgebra $H$ and any $I_j$ a well described (graded) ideal of ${\frak L}$ satisfying $[I_j,I_k] = 0$ if $j \neq k$. In the case of ${\frak L}$ being of maximal length, the simplicity of ${\frak L}$ is also characterized in terms of connections of roots. |
| title | On split Leibniz superalgebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2401.12886 |