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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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Kazhdan-Lusztig polynomials and a combinatoric for tilting modules
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by Wolfgang Soergel PDF
Represent. Theory 1 (1997), 83-114

Abstract:

This article gives a self-contained 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.
References
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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
  • Received by editor(s): February 4, 1997
  • Received by editor(s) in revised form: March 17, 1997
  • Published electronically: May 5, 1997
  • © Copyright 1997 By the author
  • Journal: Represent. Theory 1 (1997), 83-114
  • MSC (1991): Primary 05E99, 17B37
  • DOI: https://doi.org/10.1090/S1088-4165-97-00021-6
  • MathSciNet review: 1444322