P.I. envelopes of classical simple Lie superalgebras

Musson, Ian

doi:10.1090/S0002-9939-02-06481-X

P.I. envelopes of classical simple Lie superalgebras
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by Ian M. Musson PDF

Proc. Amer. Math. Soc. 130 (2002), 3185-3191 Request permission

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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