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Pi-envelopes of Lie superalgebras |
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| Authors: | Yuri Bahturin Susan Montgomery |
| Affiliation: | Department of Algebra, Moscow State University, 119899 Moscow, Russia ; Department of Mathematics, University of Southern California, Los Angeles, California 90089-1113 |
| Abstract: | In this paper we find necessary and sufficient conditions on a finite-dimensional Lie superalgebra under which any associative PI-envelope of  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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