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Formulae relating the Bernstein and Iwahori-Matsumoto presentations of an affine Hecke algebra

arXiv:math/0201176

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.

To appear, J. of Algebra