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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.


Charakterformeln für Kipp-Moduln über Kac-Moody-Algebren
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by Wolfgang Soergel
Represent. Theory 1 (1997), 115-132
Published electronically: May 9, 1997

English translation: Represent. Theory 2 (1998)


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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Bibliographic Information
  • Wolfgang Soergel
  • Affiliation: Universität Freiburg, Mathematisches Institut, Eckerstrasse 1, D-79104 Freiburg, Germany
  • Email:
  • Received by editor(s): January 24, 1997
  • Received by editor(s) in revised form: March 3, 1997
  • Published electronically: May 9, 1997
  • © Copyright 1997 By the author
  • Journal: Represent. Theory 1 (1997), 115-132
  • MSC (1991): Primary 17B70, 17B67, 17B37
  • DOI:
  • MathSciNet review: 1445716