Restricted simple Lie (super)algebras in characteristic $3$
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2018
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916394719772672 |
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| author | Bouarroudj, Sofiane Krutov, Andrey Lebedev, Alexei Leites, Dimitry Shchepochkina, Irina |
| author_facet | Bouarroudj, Sofiane Krutov, Andrey Lebedev, Alexei Leites, Dimitry Shchepochkina, Irina |
| contents | We give explicit formulas proving restrictedness of the following Lie (super)algebras: known exceptional simple vectorial Lie (super)algebras in characteristic 3, deformed Lie (super)algebras with indecomposable Cartan matrix, and (under certain conditions) their simple subquotients over an algebraically closed field of characteristic 3, as well as one type of the deformed divergence-free Lie superalgebras with any number of indeterminates in any characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1809_08582 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Restricted simple Lie (super)algebras in characteristic $3$ Bouarroudj, Sofiane Krutov, Andrey Lebedev, Alexei Leites, Dimitry Shchepochkina, Irina Representation Theory We give explicit formulas proving restrictedness of the following Lie (super)algebras: known exceptional simple vectorial Lie (super)algebras in characteristic 3, deformed Lie (super)algebras with indecomposable Cartan matrix, and (under certain conditions) their simple subquotients over an algebraically closed field of characteristic 3, as well as one type of the deformed divergence-free Lie superalgebras with any number of indeterminates in any characteristic. |
| title | Restricted simple Lie (super)algebras in characteristic $3$ |
| topic | Representation Theory |
| url | https://arxiv.org/abs/1809.08582 |