Restricted simple Lie (super)algebras in characteristic \(3\)

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 algebrai...

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Bibliographic Details
Published in:arXiv.org 2018-09
Main Authors: Bouarroudj, Sofiane, Krutov, Andrey, Lebedev, Alexei, Leites, Dimitry, Shchepochkina, Irina
Format: Article
Language:English
Subjects:
Algebra
Deformation
Divergence
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1809.08582