# On Iwahori-Hecke Algebras with Unequal Parameters and Lusztig's Isomorphism Theorem

@inproceedings{Geck2011OnIA,
title={On Iwahori-Hecke Algebras with Unequal Parameters and Lusztig's Isomorphism Theorem},
author={Meinolf Geck},
year={2011}
}
By Tits’ deformation argument, a generic Iwahori–Hecke algebra H associated to a finite Coxeter group W is abstractly isomorphic to the group algebra of W . Lusztig has shown how one can construct an explicit isomorphism, provided that the Kazhdan–Lusztig basis of H satisfies certain deep properties. If W is crystallographic and H is a one-parameter algebra, then these properties are known to hold thanks to a geometric interpretation. In this paper, we develop some new general methods for… CONTINUE READING

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