Restricted Lie (Super)Algebras in Characteristic 3

We give explicit formulas proving that the following Lie (super)algebras are restricted: known exceptional simple vectorial Lie (super)algebras in characteristic 3, deformed Lie (super)algebras with indecomposable Cartan matrix, simple subquotients over an algebraically closed field of characteristi...

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Bibliographic Details
Published inFunctional analysis and its applications Vol. 52; no. 1; pp. 49 - 52
Main Authors Bouarroudj, S., Krutov, A. O., Lebedev, A. V., Leites, D. A., Shchepochkina, I. M.
Format Journal Article
LanguageEnglish
Published New York Springer US 2018
Springer Nature B.V
Subjects
Algebra
Analysis
Brief Communications
characteristic 3
Deformation
Divergence
Functional Analysis
Lie superalgebra
Mathematics
Mathematics and Statistics
restricted Lie algebra
characteristic 3
restricted Lie algebra
Lie superalgebra
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Summary:We give explicit formulas proving that the following Lie (super)algebras are restricted: known exceptional simple vectorial Lie (super)algebras in characteristic 3, deformed Lie (super)algebras with indecomposable Cartan matrix, simple subquotients over an algebraically closed field of characteristic 3 of these (super)algebras (under certain conditions), and deformed divergence-free Lie superalgebras of a certain type with any finite number of indeterminates in any characteristic.
ISSN:0016-2663
1573-8485
1573-8485
DOI:10.1007/s10688-018-0206-7