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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.


Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln
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by Wolfgang Soergel
Represent. Theory 1 (1997), 37-68
Published electronically: March 7, 1997

English translation: Represent. Theory 1 (1997)


This article gives a selfcontained treatment of the theory of Kazhdan-Lusztig polynomials with special emphasis on affine reflection groups. There are only a few new results but several new proofs. We close with a conjectural character formula for tilting modules, which formed the starting point of these investigations.
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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 25, 1996
  • Received by editor(s) in revised form: January 2, 1997
  • Published electronically: March 7, 1997
  • © Copyright 1997 By the author
  • Journal: Represent. Theory 1 (1997), 37-68
  • MSC (1991): Primary 05E99, 17B37
  • DOI:
  • MathSciNet review: 1445511