arXiv Analytics

Sign in

arXiv:math/0201176 [math.RT]AbstractReferencesReviewsResources

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

Thomas J. Haines, Alexandra Pettet

Published 2002-01-18Version 1

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.

Comments: To appear, J. of Algebra
Categories: math.RT
Subjects: 20C08, 14M15
Related articles: Most relevant | Search more
arXiv:1011.0679 [math.RT] (Published 2010-11-02, updated 2010-11-17)
A formula of Arthur and affine Hecke algebras
arXiv:1110.6212 [math.RT] (Published 2011-10-27, updated 2014-05-26)
On calibrated representations and the Plancherel Theorem for affine Hecke algebras
arXiv:math/0101007 [math.RT] (Published 2001-01-01, updated 2003-09-18)
On the spectral decomposition of affine Hecke algebras