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P.I. envelopes of classical simple Lie superalgebras

Author(s): Ian M. Musson
Journal: Proc. Amer. Math. Soc. 130 (2002), 3185-3191.
MSC (2000): Primary 17B20, 17B35
Posted: March 25, 2002
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Abstract: Let $\mathfrak{g}$ be a classical simple Lie superalgebra. We describe the prime ideals $P$ in the enveloping algebra $U(\mathfrak{g})$ such that $U(\mathfrak{g})/P$ satisfies a polynomial identity. If the factor algebra $U(\mathfrak{g})/P$ is not artinian, then it is an order in a matrix algebra over $K(z)$.

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Additional Information:

Ian M. Musson
Affiliation: Department of Mathematical Sciences, University of Wisconsin, Milwaukee, Wisconsin 53211
Email: musson@csd.uwm.edu

DOI: 10.1090/S0002-9939-02-06481-X
PII: S 0002-9939(02)06481-X
Received by editor(s): June 12, 2001
Posted: March 25, 2002
Communicated by: Lance W. Small
Copyright of article: Copyright 2002, American Mathematical Society

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