An Analogue Of A Reductive Algebraic Monoid Whose Unit Group Is A Kac-moody Group - Couverture souple

Mokler, Claus

 
9780821836484: An Analogue Of A Reductive Algebraic Monoid Whose Unit Group Is A Kac-moody Group
Couverture souple
ISBN 10 : 082183648X ISBN 13 : 9780821836484
Editeur : American Mathematical Society, 2005

Synopsis

By an easy generalization of the Tannaka-Krein reconstruction we associate to the category of admissible representations of the category ${\mathcal O}$ 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 V. Kac and D. 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.

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Éditeur
American Mathematical Society
Date d'édition
2005
Langue
anglais
ISBN 10 
082183648X
ISBN 13 
9780821836484
Reliure
Broché
Nombre de pages
89
Coordonnées du fabricant
non disponible
Personne responsable
non disponible