Representations of reductive normal algebraic monoids
Representation Theory
2014-01-08 v1
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.
Cite
@article{arxiv.1401.1407,
title = {Representations of reductive normal algebraic monoids},
author = {Stephen Doty},
journal= {arXiv preprint arXiv:1401.1407},
year = {2014}
}
Comments
10 pages. To appear in a volume of the Fields Communications Series: "Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics," edited by Mahir Can, Zhenheng Li, Benjamin Steinberg, and Qiang Wang