FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1996, VOLUME 2, NUMBER 1, PAGES 289-293

The equivalence of irreducible representations of finite dimensional Lie superalgebras with the same identities

A. A. Zolotykh

Abstract

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We prove that a faithful irreducible representation of a finite dimensional Lie superalgebra over a algebraically closed field of characteristic zero is determined by the identities of its Grassmann envelope.

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