Minimal prime ideals in enveloping algebras of Lie superalgebras
Authors:
Ellen Kirkman and James Kuzmanovich
Journal:
Proc. Amer. Math. Soc. 124 (1996), 16931702
MSC (1991):
Primary 16S30; Secondary 16D30, 17B35, 17A70
MathSciNet review:
1307538
Fulltext PDF Free Access
Abstract 
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Abstract: Let be a finite dimensional Lie superalgebra over a field of characteristic zero. Let be the enveloping algebra of . We show that when , then is not semiprime, but it has a unique minimal prime ideal; it follows then that when is classically simple, has a unique minimal prime ideal. We further show that when is a finite dimensional nilpotent Lie superalgebra, then has a unique minimal prime ideal.
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Additional Information
Ellen Kirkman
Affiliation:
Department of Mathematics\ Wake Forest University WinstonSalem, North Carolina 27109
Email:
kirkman@mthcsc.wfu.edu
James Kuzmanovich
Affiliation:
Department of Mathematics\ Wake Forest University WinstonSalem, North Carolina 27109
Email:
kuz@mthcsc.wfu.edu
DOI:
http://dx.doi.org/10.1090/S0002993996032303
PII:
S 00029939(96)032303
Keywords:
Enveloping algebra,
Lie superalgebra,
minimal prime ideals
Received by editor(s):
August 12, 1994
Received by editor(s) in revised form:
December 13, 1994
Additional Notes:
The first author was supported in part by a grant from the National Security Agency.
Communicated by:
Ken Goodearl
Article copyright:
© Copyright 1996
American Mathematical Society
