On the Kazhdan-Lusztig basis of a spherical Hecke algebra

Knop, Friedrich

doi:10.1090/S1088-4165-05-00237-2

On the Kazhdan-Lusztig basis of a spherical Hecke algebra
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by Friedrich Knop

Represent. Theory 9 (2005), 417-425

DOI: https://doi.org/10.1090/S1088-4165-05-00237-2

Published electronically: May 13, 2005

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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.

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