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An Analogue of a Reductive Algebraic Monoid Whose Unit Group is a Kac-Moody Group (Paperback, Illustrated Ed) Loot Price: R1,520 Discovery Miles 15 200

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# An Analogue of a Reductive Algebraic Monoid Whose Unit Group is a Kac-Moody Group (Paperback, Illustrated Ed)

## Claus Mokler

### Series: Memoirs of the American Mathematical Society, No. 174

Loot Price R1,520 Discovery Miles 15 200

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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.

### General

 Imprint: American Mathematical Society Country of origin: United States Series: Memoirs of the American Mathematical Society, No. 174 Release date: 2005 Editors: Claus Mokler Format: Paperback Pages: 90 Edition: Illustrated Ed ISBN-13: 978-0-8218-3648-4 Barcode: 9780821836484 Categories: Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory LSN: 0-8218-3648-X

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