Charakterformeln für Kipp-Moduln über Kac-Moody-Algebren

Soergel, Wolfgang

doi:10.1090/S1088-4165-97-00017-4

Charakterformeln für Kipp-Moduln über Kac-Moody-Algebren
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by Wolfgang Soergel

Represent. Theory 1 (1997), 115-132

DOI: https://doi.org/10.1090/S1088-4165-97-00017-4

Published electronically: May 9, 1997

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English translation: Represent. Theory 2 (1998)

Abstract:

We show how to express the characters of tilting modules in a (possibly parabolic) category $\mathcal {O}$ over a Kac-Moody algebra in terms of the characters of simple highest weight modules. This settles in lots of cases Conjecture 7.2 in Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln, Represent. Theory (1997), by the author, describing the character of tilting modules for quantum groups at roots of unity.

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