Annihilators of simple tensor modules

Alexandru Sava

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arXiv · 1201.3829

Annihilators of simple tensor modules

Alexandru Sava

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Abstract

We study primitive ideals in the enveloping algebra of finitary locally finite infinite-dimensional complex Lie algebras. In particular we investigate the annihilators of the simple objects in the category of tensor modules. This category has been studied in \cite{PStyr} and \cite{PS}. Moreover we prove that a simple tensor module is completely determined by its annihilator and we introduce a partial order on pairs of Young diagrams that we use to describe the inclusions between the annihilators of the simple tensor modules.

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BibTeX RIS

Alexandru Sava. 2012-01-18. Annihilators of simple tensor modules. https://arxiv.org/abs/1201.3829

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