Kazhdan–Lusztig basis and a geometric filtration of an affine Hecke algebra, II

Xi, Nanhua. "Kazhdan–Lusztig basis and a geometric filtration of an affine Hecke algebra, II." Journal of the European Mathematical Society 013.1 (2011): 207-217. <http://eudml.org/doc/277162>.

@article{Xi2011,
abstract = {An affine Hecke algebras can be realized as an equivariant $K$-group of the corresponding Steinberg variety. This gives rise naturally to some two-sided ideals of the affine Hecke algebra by means of the closures of nilpotent orbits of the corresponding Lie algebra. In this paper we will show that the two-sided ideals are in fact the two-sided ideals of the affine Hecke algebra defined through two-sided cells of the corresponding affine Weyl group after the two-sided ideals are tensored by $\mathbb \{Q\}$. This proves a weak form of a conjecture of Ginzburg proposed in 1987.},
author = {Xi, Nanhua},
journal = {Journal of the European Mathematical Society},
keywords = {affine Hecke algebra; two-sided cell; two-sided ideal; affine Weyl groups; reductive algebraic groups; Kazhdan-Lusztig bases; nilpotent orbits; affine Hecke algebras; two-sided cells; two-sided ideals; affine Weyl groups; reductive algebraic groups; Kazhdan-Lusztig bases; nilpotent orbits},
language = {eng},
number = {1},
pages = {207-217},
publisher = {European Mathematical Society Publishing House},
title = {Kazhdan–Lusztig basis and a geometric filtration of an affine Hecke algebra, II},
url = {http://eudml.org/doc/277162},
volume = {013},
year = {2011},
}

TY - JOUR
AU - Xi, Nanhua
TI - Kazhdan–Lusztig basis and a geometric filtration of an affine Hecke algebra, II
JO - Journal of the European Mathematical Society
PY - 2011
PB - European Mathematical Society Publishing House
VL - 013
IS - 1
SP - 207
EP - 217
AB - An affine Hecke algebras can be realized as an equivariant $K$-group of the corresponding Steinberg variety. This gives rise naturally to some two-sided ideals of the affine Hecke algebra by means of the closures of nilpotent orbits of the corresponding Lie algebra. In this paper we will show that the two-sided ideals are in fact the two-sided ideals of the affine Hecke algebra defined through two-sided cells of the corresponding affine Weyl group after the two-sided ideals are tensored by $\mathbb {Q}$. This proves a weak form of a conjecture of Ginzburg proposed in 1987.
LA - eng
KW - affine Hecke algebra; two-sided cell; two-sided ideal; affine Weyl groups; reductive algebraic groups; Kazhdan-Lusztig bases; nilpotent orbits; affine Hecke algebras; two-sided cells; two-sided ideals; affine Weyl groups; reductive algebraic groups; Kazhdan-Lusztig bases; nilpotent orbits
UR - http://eudml.org/doc/277162
ER -