Actions of the face monoid associated to a Kac-Moody group on its building

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dc.creatorMokler, Claus
dc.date2006-09-26
dc.date2009-02-10
dc.date.accessioned2026-07-07T12:39:34Z
dc.date.available2026-07-07T12:39:34Z
dc.descriptionWe described in [M1] a monoid acting on the integrable highest weight modules of a symmetrizable Kac-Moody algebra. It has similar structural properties as a reductive algebraic monoid with unit group a Kac-Moody group. Now we find natural extensions of the action of the Kac-Moody group on its building to actions of this monoid. These extensions are partly motivated by representation theory and the combinatorics of the faces of the Tits cone.
dc.description37 pages, a new introduction, new results added, some typos corrected
dc.identifierhttps://arxiv.org/abs/math/0609726
dc.identifierhttp://arxiv.org/abs/math/0609726
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219154
dc.subjectGroup Theory
dc.subjectRepresentation Theory
dc.subject20E42
dc.titleActions of the face monoid associated to a Kac-Moody group on its building
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