On the Kazhdan-Lusztig basis of a spherical Hecke algebra
Representation Theory
2007-05-23 v2 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.math/0403066,
title = {On the Kazhdan-Lusztig basis of a spherical Hecke algebra},
author = {Friedrich Knop},
journal= {arXiv preprint arXiv:math/0403066},
year = {2007}
}
Comments
v1: 10 pages; v2: 11 pages, minor stylistic changes, the main theorem is a little bit stronger