Representations of the Renner Monoid

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dc.creatorLi, Zhuo
dc.creatorLi, Zhenheng
dc.creatorCao, You'an
dc.date2008-12-05
dc.date.accessioned2026-07-07T12:09:49Z
dc.date.available2026-07-07T12:09:49Z
dc.descriptionWe describe irreducible representations and character formulas of the Renner monoids for reductive monoids, which generalizes the Munn-Solomon representation theory of rook monoids to any Renner monoids. The type map and polytope associated with reductive monoids play a crucial role in our work. It turns out that the irreducible representations of certain parabolic subgroups of the Weyl groups determine the complete set of irreducible representations of the Renner monoids. An analogue of the Munn-Solomon formula for calculating the character of the Renner monoids, in terms of the characters of the parabolic subgroups, is shown.
dc.identifierhttps://arxiv.org/abs/0812.1173
dc.identifierhttp://arxiv.org/abs/0812.1173
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209758
dc.subjectRepresentation Theory
dc.subject20M18, 20M25, 20M30, 20G99
dc.titleRepresentations of the Renner Monoid
dc.typetext

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