arXiv Analytics

Sign in

arXiv:1310.4016 [math.RT]AbstractReferencesReviewsResources

The central support of the Plancherel measure of an affine Hecke algebra

Eric Opdam

Published 2013-10-15Version 1

We give conceptual proofs of certain basic properties of the arrangement of shifted root hyperplanes associated to a root system and a Weyl group invariant real valued parameter function on the root system. The method is based on the role of this shifted root hyperplane arrangement for the harmonic analysis of affine Hecke algebras. In addition this yields a conceptual proof of the description of the central support of the Plancherel measure of an affine Hecke algebra given in math.RT.0101007v4.

Comments: This paper appeared in 2007 in MMJ (Volume 7, no 4). I have uploaded it now to arXiv without changes
Journal: Moscow Mathematical Journal, Vol 7, no 4 (2007)
Categories: math.RT
Subjects: 20C08, 22D25, 22E35, 43A30
Related articles: Most relevant | Search more
arXiv:math/0101007 [math.RT] (Published 2001-01-01, updated 2003-09-18)
On the spectral decomposition of affine Hecke algebras
arXiv:0804.3781 [math.RT] (Published 2008-04-23, updated 2008-12-16)
Hecke group algebras as quotients of affine Hecke algebras at level 0
arXiv:1011.0679 [math.RT] (Published 2010-11-02, updated 2010-11-17)
A formula of Arthur and affine Hecke algebras

Links

Toolbox