Annihilation Theorem and Separation Theorem for basic classical Lie superalgebras

Details Annihilation Theorem and Separation Theorem for basic classical Lie superalgebras Annihilation Theorem and Separation Theorem for basic classical Lie superalgebras

2000-08-17

arxiv.org/abs/math/0008143v1

Mathematics

Rings and Algebras

Scientific paper

In this article we prove that for a basic classical Lie superalgebra the
annihilator of a strongly typical Verma module is a centrally generated ideal.
For a basic classical Lie superalgebra of type I we prove that the localization
of the enveloping algebra by a certain central element is free over its centre.

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