On identities of infinite dimensional Lie superalgebras

Published 19 Feb 2016 in math.RA | (1602.06085v1)

Abstract: We study codimension growth of infinite dimensional Lie superalgebras 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 it is a positive integer.

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