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
Abstract:
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.References
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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: knop@math.rutgers.edu
- 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: https://doi.org/10.1090/S1088-4165-05-00237-2
- MathSciNet review: 2142817