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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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This item is in your CollectionAn Analogue of a Reductive Algebraic Monoid Whose Unit Group Is a Kac-Moody Group (Memoirs of the American Mathematical Society Series, No. 823), Vol. 174
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Add An Analogue of a Reductive Algebraic Monoid Whose Unit Group Is a Kac-Moody Group (Memoirs of the American Mathematical Society Series, No. 823), Vol. 174, 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-, An Analogue of a Reductive Algebraic Monoid Whose Unit Group Is a Kac-Moody Group (Memoirs of the American Mathematical Society Series, No. 823), Vol. 174 to the inventory that you are selling on WonderClubX
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Add An Analogue of a Reductive Algebraic Monoid Whose Unit Group Is a Kac-Moody Group (Memoirs of the American Mathematical Society Series, No. 823), Vol. 174, 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-, An Analogue of a Reductive Algebraic Monoid Whose Unit Group Is a Kac-Moody Group (Memoirs of the American Mathematical Society Series, No. 823), Vol. 174 to your collection on WonderClub |