S. Bouarroudj, A. O. Krutov, A. V. Lebedev, D. A. Leites, I. M. Shchepochkina, “Restricted Lie (Super)Algebras in Characteristic 3”, Funktsional. Anal. i Prilozhen., 2018, Volume 52, Issue 1,Pages <nobr>61

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Brief communications

Restricted Lie (Super)Algebras in Characteristic 3

S. Bouarroudj^a, A. O. Krutov^bc, A. V. Lebedev^d, D. A. Leites^ae, I. M. Shchepochkina^c

^a Division of Science and Mathematics, New York University, Abu Dhabi, United Arab Emirates
^b Institute of Mathematics, Polish Academy of Sciences, Warszawa, Poland
^c Independent University of Moscow, Moscow, Russia
^d Equa Simulation AB, Stockholm, Sweden
^e Department of Mathematics, Stockholm University, Stockholm, Sweden

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: restricted Lie algebra, characteristic 3, Lie superalgebra.

UDC: 512.554.38

Received: 14.12.2016
Accepted: 26.05.2017

DOI: 10.4213/faa3487