An Analogue of a Reductive Algebraic Monoid Whose Unit Group Is a Kac-Moody Group |
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| Author:
| Mokler, Claus |
| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-0-8218-3648-4 |
| Publication Date: | Jan 2005 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | USD $70.00USD $70.00 |
Book Description:
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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.
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.