Annihilation Theorem and Separation Theorem for basic classical Lie superalgebras
Rings and Algebras
2007-05-23 v1
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.
Cite
@article{arxiv.math/0008143,
title = {Annihilation Theorem and Separation Theorem for basic classical Lie superalgebras},
author = {Maria Gorelik},
journal= {arXiv preprint arXiv:math/0008143},
year = {2007}
}