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arXiv · 1401.1407

Representations of reductive normal algebraic monoids

Stephen Doty
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Abstract

The rational representation theory of a reductive normal algebraic monoid (with one-dimensional center) forms a highest weight category, in the sense of Cline, Parshall, and Scott. This is a fundamental fact about the representation theory of reductive normal algebraic monoids. We survey how this result was obtained, and treat some natural examples coming from classical groups.

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Stephen Doty. 2014-01-07. Representations of reductive normal algebraic monoids. https://arxiv.org/abs/1401.1407

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