## Arkiv för Matematik

• Ark. Mat.
• Volume 54, Number 1 (2016), 147-156.

### Graded PI-exponents of simple Lie superalgebras

#### 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.

#### Note

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.

#### Article information

Source
Ark. Mat., Volume 54, Number 1 (2016), 147-156.

Dates
First available in Project Euclid: 30 January 2017

https://projecteuclid.org/euclid.afm/1485802733

Digital Object Identifier
doi:10.1007/s11512-015-0224-0

Mathematical Reviews number (MathSciNet)
MR3475821

Zentralblatt MATH identifier
06581083

Rights

#### Citation

Repovš, Dušan; Zaicev, Mikhail. Graded PI-exponents of simple Lie superalgebras. Ark. Mat. 54 (2016), no. 1, 147--156. doi:10.1007/s11512-015-0224-0. https://projecteuclid.org/euclid.afm/1485802733

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