Formulae relating the Bernstein and Iwahori-Matsumoto presentations of an affine Hecke algebra
Thomas J. Haines, Alexandra Pettet
Abstract
We give explicit formulae for certain elements occurring in the Bernstein presentation of an affine Hecke algebra, in terms of the usual Iwahori- Matsumoto generators. We utilize certain minimal expressions for said elements and we give a sheaf-theoretic interpretation for the existence of these minimal expressions.
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