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Representation Theory
Representation Theory
ISSN 1088-4165

   

 

Character formulas for tilting modules
over Kac-Moody algebras


Author: Wolfgang Soergel
Journal: Represent. Theory 2 (1998), 432-448
MSC (1991): Primary 17B70, 17B67, 17B37
Published electronically: December 28, 1998
Original Article: Represent. Theory 1 (1997)
MathSciNet review: 1663141
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Abstract | References | Similar Articles | Additional Information

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 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 of unity.


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Additional Information

Wolfgang Soergel
Affiliation: Universität Freiburg, Mathematisches Institut, Eckerstrasse 1, D-79104 Freiburg, Germany
Email: soergel@mathematik.uni-freiburg.de

DOI: http://dx.doi.org/10.1090/S1088-4165-98-00057-0
PII: S 1088-4165(98)00057-0
Received by editor(s): September 10, 1998
Published electronically: December 28, 1998
Article copyright: © Copyright 1998 by the author