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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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On the Kazhdan-Lusztig basis of a spherical Hecke algebra
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by Friedrich Knop PDF
Represent. Theory 9 (2005), 417-425 Request permission


Lusztig proved that the Kazhdan-Lusztig basis of a spherical algebra can be essentially identified with the Weyl characters of the Langlands dual group. We generalize this result to the unequal parameter case. Our new proof is simple and quite different from Lusztig’s.
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Additional Information
  • Friedrich Knop
  • Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
  • MR Author ID: 103390
  • ORCID: 0000-0002-4908-4060
  • Email:
  • Received by editor(s): March 31, 2004
  • Received by editor(s) in revised form: March 30, 2005
  • Published electronically: May 13, 2005
  • Additional Notes: This work originates from a stay at the University of Strasbourg in 1996 and was finished during a stay at the University of Freiburg in 2003. The author thanks both institutions for their hospitality
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 9 (2005), 417-425
  • MSC (2000): Primary 20C08
  • DOI:
  • MathSciNet review: 2142817