Trace identities of matrix superalgebras with an involution

A. A. Zolotykh


Abstract: The finite basis property of trace identities with involution of the matrix superalgebras $M_{n,2k}$ is proved, as well as the finite (in some sense) basis property of trace identities of natural representations of Grassmann hulls of orthosymplectic Lie superalgebras.

UDC: 512.55

MSC: Primary 16A42; Secondary 16A03, 17A70

Received: 12.12.1988

 English version: Mathematics of the USSR-Izvestiya, 1991, 37:1, 37–68

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