Restricted Lie (Super)Algebras in Characteristic 3


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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.

作者简介

S. Bouarroudj

Division of Science and Mathematics, New York University

编辑信件的主要联系方式.
Email: sofiane.bouarroudj@nyu.edu
阿拉伯联合酋长国, Abu Dhabi

A. Krutov

Institute of Mathematics, Polish Academy of Sciences; Independent University of Moscow

Email: sofiane.bouarroudj@nyu.edu
波兰, Warszawa; Moscow

A. Lebedev

Equa Simulation AB

Email: sofiane.bouarroudj@nyu.edu
瑞典, Stockholm

D. Leites

Division of Science and Mathematics, New York University; Department of Mathematics, Stockholm University

Email: sofiane.bouarroudj@nyu.edu
阿拉伯联合酋长国, Abu Dhabi; Stockholm

I. Shchepochkina

Independent University of Moscow

Email: sofiane.bouarroudj@nyu.edu
俄罗斯联邦, Moscow

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