Annihilation Theorem and Separation Theorem for basic classical Lie superalgebras

Gorelik, Maria

doi:10.1090/S0894-0347-01-00382-4

Annihilation Theorem and Separation Theorem for basic classical Lie superalgebras

Author: Maria Gorelik
Journal: J. Amer. Math. Soc. 15 (2002), 113-165
MSC (2000): Primary 17B10, 17B20, 17B35
DOI: https://doi.org/10.1090/S0894-0347-01-00382-4
Published electronically: September 19, 2001
MathSciNet review: 1862799
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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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