The Knizhnik-Zamolodchikov functor
Thus, by Proposition 6.1 we have an isomorphism H 1(G) =∼ CG. So H q(G) is a deformation of CG. Example 6.3 (Coxeter group case). Now let W be a Coxeter group. Let S be the set of reflections and let α s = 0 be the reflection hyperplane corresponding to s ∈S. The Hecke algebra H q(W ) is the quotient of C[B W] by the relations (T s − 1 ... ................
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