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Funktsional. Anal. i Prilozhen., 2018, Volume 52, Issue 1, Pages 61–64 (Mi faa3487)  

Brief communications

Restricted Lie (Super)Algebras in Characteristic 3

S. Bouarroudja, A. O. Krutovbc, A. V. Lebedevd, D. A. Leitesae, I. M. Shchepochkinac

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.

Funding Agency Grant Number
New York University Abu Dhabi AD 065
The work of S. B. was supported in part by the grant AD 065 NYUAD.


DOI: https://doi.org/10.4213/faa3487

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English version:
Functional Analysis and Its Applications, 2018, 52:1, 49–52

Bibliographic databases:

UDC: 512.554.38
Received: 14.12.2016

Citation: 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., 52:1 (2018), 61–64; Funct. Anal. Appl., 52:1 (2018), 49–52

Citation in format AMSBIB
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\pages 61--64
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