An Analogue of a Reductive Algebraic Monoid Whose Unit Group Is a Kac Moody Group is popular PDF and ePub book, written by Claus Mokler in 2005, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, An Analogue of a Reductive Algebraic Monoid Whose Unit Group Is a Kac Moody Group can be Read Online from any device for your convenience.
An Analogue of a Reductive Algebraic Monoid Whose Unit Group Is a Kac Moody Group Book PDF Summary
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.
Detail Book of An Analogue of a Reductive Algebraic Monoid Whose Unit Group Is a Kac Moody Group PDF
- Author : Claus Mokler
- Release : 01 October 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821836484
- Genre : Mathematics
- Total Page : 104 pages
- Language : English
- PDF File Size : 15,8 Mb
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