On the stability of weight spaces of enveloping algebra in prime characteristic

Details On the stability of weight spaces of enveloping algebra in prime characteristic On the stability of weight spaces of enveloping algebra in prime characteristic

2010-11-10

arxiv.org/abs/1011.2318v1

Mathematics

Rings and Algebras

Scientific paper

By the result of Dixmier, any weight space of enveloping algebra of Lie
algebra L over a field of characteristic 0 is adL stable. In this paper we will
show that this result need not be true, if F is replaced by a field of prime
characteristic. A condition will be given, so a weight space will be adL
stable.

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