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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Character formulas for tilting modules over Kac-Moody algebras
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by Wolfgang Soergel
Represent. Theory 2 (1998), 432-448
Published electronically: December 28, 1998

Original Article: Represent. Theory 1 (1997)


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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Bibliographic 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