Character Formulas for Tilting Modules over Kac-moody Algebras
نویسنده
چکیده
We show how to express the characters of tilting modules in a (possibly parabolic) category O over a Kac-Moody algebra in terms of the characters of simple highest weight modules. This settles, in lots of cases, Conjecture 7.2 of Kazhdan-Lusztig-Polynome and eine Kombinatorik für Kipp-Moduln, Representation Theory (An electronic Journal of the AMS) (1997), by the author, describing the character of tilting modules for quantum groups at roots
منابع مشابه
Sporadic groups and string theory
whereW is the Weyl group, ρ is the Weyl vector, and the product is over all positive roots α. This is a special case of Weyl’s character formula which says that the character of a finite dimensional representation is equal to a sum similar to the left hand side divided by the product on the right hand side; for the 1-dimensional representation the character is 1 so the sum is equal to the produ...
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تاریخ انتشار 1998