Geodesic
Kazhdan–Lusztig basis and a geometric filtration of an affine Hecke Algebra, II
Journal of the European Mathematical Society, Tome 13 (2011) no. 1, pp. 207-217 Cet article a éte moissonné depuis la source EMS Press

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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 Q. This proves a weak form of a conjecture of Ginzburg proposed in 1987.
DOI : 10.4171/jems/249
Classification : 20-XX, 00-XX
Keywords: Affine Hecke algebra, two-sided cell, two-sided ideal 
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     author = {Nanhua Xi},
     title = {Kazhdan{\textendash}Lusztig basis and a geometric filtration of an affine {Hecke} {Algebra,} {II}},
     journal = {Journal of the European Mathematical Society},
     pages = {207--217},
     year = {2011},
     volume = {13},
     number = {1},
     doi = {10.4171/jems/249},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/249/}
}
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Nanhua Xi. Kazhdan–Lusztig basis and a geometric filtration of an affine Hecke Algebra, II. Journal of the European Mathematical Society, Tome 13 (2011) no. 1, pp. 207-217. doi: 10.4171/jems/249

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