An analogue of a reductive algebraic monoid, whose unit group is a Kac-Moody group

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dc.creatorMokler, Claus
dc.date2002-04-19
dc.date.accessioned2026-07-07T04:47:56Z
dc.date.available2026-07-07T04:47:56Z
dc.descriptionBy a generalized Tannaka-Krein reconstruction we associate to the admissible representations of the category O of a Kac-Moody algebra, and its category of admissible duals a monoid with a coordinate ring. The Kac-Moody group is the Zariski open dense unit group of this monoid. The restriction of the coordinate ring to the Kac-Moody group is the algebra of strongly regular functions introduced by Kac and Peterson. This monoid has similar structural properties as a reductive algebraic monoid. In particular it is unit regular, its idempotents related to the faces of the Tits cone. It has Bruhat and Birkhoff decompositions. The Kac-Moody algebra is isomorphic to the Lie algebra of this monoid.
dc.description90 pages
dc.identifierhttps://arxiv.org/abs/math/0204246
dc.identifierhttp://arxiv.org/abs/math/0204246
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63863
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject17B67; 22E65
dc.titleAn analogue of a reductive algebraic monoid, whose unit group is a Kac-Moody group
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