On the Kazhdan-Lusztig basis of a spherical Hecke algebra

Details On the Kazhdan-Lusztig basis of a spherical Hecke algebra On the Kazhdan-Lusztig basis of a spherical Hecke algebra

2004-03-03

arxiv.org/abs/math/0403066v2

Represent. Theory 9 (2005) 417-425

Mathematics

Representation Theory

v1: 10 pages; v2: 11 pages, minor stylistic changes, the main theorem is a little bit stronger

Scientific paper

10.1090/S1088-4165-05-00237-2

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.

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