Short communications

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

A. A. Zolotykh

M. V. Lomonosov Moscow State University

Abstract: 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.

UDC: 512.554.3

Received: 01.09.1994

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