Pi-envelopes of Lie superalgebras

Bahturin, Yuri; Montgomery, Susan

doi:10.1090/S0002-9939-99-04825-X

Pi-envelopes of Lie superalgebras
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by Yuri Bahturin and Susan Montgomery

Proc. Amer. Math. Soc. 127 (1999), 2829-2839

DOI: https://doi.org/10.1090/S0002-9939-99-04825-X

Published electronically: April 23, 1999

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Abstract:

In this paper we find necessary and sufficient conditions on a finite-dimensional Lie superalgebra under which any associative PI-envelope of $L$ is finite-dimensional. We also extend M. Scheunert’s result which enables one to pass from color Lie superalgebras to the ordinary ones, to the case of gradings by an arbitrary abelian group.

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