Restricted Lie (Super)Algebras in Characteristic 3

S. Bouarroudj; A. O. Krutov; A. V. Lebedev; D. A. Leites; I. M. Shchepochkina

doi:10.1007/s10688-018-0206-7

Restricted Lie (Super)Algebras in Characteristic 3

S. Bouarroudj, A. O. Krutov, A. V. Lebedev, D. A. Leites, I. M. Shchepochkina

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	49-52
Number of pages	4
Journal	Functional Analysis and Its Applications
Volume	52
Issue number	1
DOIs	https://doi.org/10.1007/s10688-018-0206-7
State	Published - Jan 1 2018

Keywords

Lie superalgebra
characteristic 3
restricted Lie algebra

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s10688-018-0206-7

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abstract = "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.",

keywords = "Lie superalgebra, characteristic 3, restricted Lie algebra",

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AU - Bouarroudj, S.

AU - Krutov, A. O.

AU - Lebedev, A. V.

AU - Leites, D. A.

AU - Shchepochkina, I. M.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - Lie superalgebra

KW - characteristic 3

KW - restricted Lie algebra

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ER -

Restricted Lie (Super)Algebras in Characteristic 3

Abstract

Keywords

ASJC Scopus subject areas

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