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

Thomas J. Haines·Alexandra Pettet
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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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Thomas J. Haines, Alexandra Pettet. 2002-01-18. Formulae relating the Bernstein and Iwahori-Matsumoto presentations of an affine Hecke algebra. https://arxiv.org/abs/math/0201176

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