Graded PI-exponents of simple Lie superalgebras

Dušan Repovš; Mikhail Zaicev

doi:10.1007/s11512-015-0224-0

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Home > Journals > Ark. Mat. > Volume 54 > Issue 1 > Article

April 2016 Graded PI-exponents of simple Lie superalgebras

Dušan Repovš, Mikhail Zaicev

Author Affiliations +

Dušan Repovš,¹ Mikhail Zaicev²
¹Faculty of Education, and Faculty of Mathematics and Physics, University of Ljubljana
²Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University

Ark. Mat. 54(1): 147-156 (April 2016). DOI: 10.1007/s11512-015-0224-0

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Abstract

We study $\mathbb{Z}_{2}$ -graded identities of simple Lie superalgebras over a field of characteristic zero. We prove the existence of the graded PI-exponent for such algebras.

Funding Statement

The first author was supported by the SRA grants P1-0292-0101, J1-5435-0101 and J1-6721-0101. The second author was partially supported by RFBR grant 13-01-00234a. We thank the referees for comments and suggestions.

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Dušan Repovš. Mikhail Zaicev. "Graded PI-exponents of simple Lie superalgebras." Ark. Mat. 54 (1) 147 - 156, April 2016. https://doi.org/10.1007/s11512-015-0224-0