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.

Sobre autores

S. Bouarroudj

Division of Science and Mathematics, New York University

Autor responsável pela correspondência
Email: sofiane.bouarroudj@nyu.edu
Emirados Árabes Unidos, Abu Dhabi

A. Krutov

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

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

A. Lebedev

Equa Simulation AB

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

D. Leites

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

Email: sofiane.bouarroudj@nyu.edu
Emirados Árabes Unidos, Abu Dhabi; Stockholm

I. Shchepochkina

Independent University of Moscow

Email: sofiane.bouarroudj@nyu.edu
Rússia, Moscow

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