Annihilation Theorem and Separation Theorem for basic classical Lie superalgebras

Maria Gorelik

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arXiv · math/0008143

Annihilation Theorem and Separation Theorem for basic classical Lie superalgebras

Maria Gorelik

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Abstract

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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Maria Gorelik. 2000-08-17. Annihilation Theorem and Separation Theorem for basic classical Lie superalgebras. https://arxiv.org/abs/math/0008143

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