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

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

2002-01-18

arxiv.org/abs/math/0201176v1

Mathematics

Representation Theory

To appear, J. of Algebra

Scientific paper

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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