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Pi-envelopes of Lie superalgebras
Yuri Bahturin, Susan Montgomery
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Source: Crossref
Published: Apr 23, 1999
DOI: 10.1090/s0002-9939-99-04825-x
Open original source ↗Source abstract
In this paper we find necessary and sufficient conditions on a finite-dimensional Lie superalgebra under which any associative PI-envelope of L 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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