On identities of infinite dimensional Lie superalgebras

Repovš, Dušan; Zaicev, Mikhail

doi:10.1090/S0002-9939-2013-11691-6

On identities of infinite dimensional Lie superalgebras
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by Dušan Repovš and Mikhail Zaicev PDF

Proc. Amer. Math. Soc. 141 (2013), 4139-4153 Request permission

Abstract:

We study codimension growth of infinite dimensional Lie super- algebras over an algebraically closed field of characteristic zero. We prove that if a Lie superalgebra $L$ is a Grassmann envelope of a finite dimensional simple Lie algebra, then the PI-exponent of $L$ exists and is a positive integer.

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