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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Character formulas for tilting modules over Kac-Moody algebras
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by Wolfgang Soergel PDF
Represent. Theory 2 (1998), 432-448


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:
  • Received by editor(s): September 10, 1998
  • Published electronically: December 28, 1998
  • © Copyright 1998 by the author
  • Journal: Represent. Theory 2 (1998), 432-448
  • MSC (1991): Primary 17B70, 17B67, 17B37
  • DOI:
  • MathSciNet review: 1663141