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P.I. envelopes of classical simple Lie superalgebras
Authors:Ian M. Musson
Affiliation:Department of Mathematical Sciences, University of Wisconsin, Milwaukee, Wisconsin 53211
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 $K(z)$.
Keywords:
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