On the Kazhdan-Lusztig basis of a spherical Hecke algebra

Lusztig proved that the Kazhdan-Lusztig basis of a spherical Hecke algebra can be essentially identified with the Weyl characters of the Langlands dual group. We generalize this result to the unequal parameter case. The new proof is pretty simple and quite different from Lusztig's.

Appeared in: Represent. Theory 9 (2005) 417-425

Available files:

DVI-file
Postscript file
Pdf-file
arXiv
Original article (American Mathematical Society)

Back to index

Last updated: May 13, 2005