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Pi-envelopes of Lie superalgebras
Author(s):
Yuri
Bahturin;
Susan
Montgomery
Journal:
Proc. Amer. Math. Soc.
127
(1999),
2829-2839.
MSC (1991):
Primary 17A70, 16W50
Posted:
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  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.
References:
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Additional Information:
Yuri
Bahturin
Affiliation:
Department of Algebra, Moscow State University, 119899 Moscow, Russia
Email:
bahturin@mech.math.msu.su
Susan
Montgomery
Affiliation:
Department of Mathematics, University of Southern California, Los Angeles, California 90089-1113
Email:
smontgom@math.usc.edu
DOI:
10.1090/S0002-9939-99-04825-X
PII:
S 0002-9939(99)04825-X
Received by editor(s):
May 27, 1997
Received by editor(s) in revised form:
December 11, 1997
Posted:
April 23, 1999
Additional Notes:
The authors were supported by NSF grant DMS-9500649
Communicated by:
Lance W. Small
Copyright of article:
Copyright
1999,
American Mathematical Society
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