books.google.com - 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...http://books.google.com/books/about/An_Analogue_of_a_Reductive_Algebraic_Mon.html?id=ephfYgRTPjAC&q=root+groups&utm_source=gb-gplus-shareAn Analogue of a Reductive Algebraic Monoid Whose Unit Group is a Kac-Moody Group

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## An Analogue of a Reductive Algebraic Monoid Whose Unit Group is ..., Volume 823By Claus Mokler |