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arXiv:1712.01480 [math.RT]AbstractReferencesReviewsResources

Representations of the general linear Lie algebra on the algebra of Laurent polynomials

Cheonho Choi, Sangjib Kim, HaeYun Seo

Published 2017-12-05Version 1

We investigate the module structures of certain vector spaces of Laurent polynomials and their quotients over the universal enveloping algebra of the general linear Lie algebra. As a consequence, we obtain explicit constructions of certain simple highest weight modules.

Categories: math.RT
Subjects: 17B10, 17B45
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