Hostname: page-component-77c89778f8-5wvtr Total loading time: 0 Render date: 2024-07-16T22:46:41.097Z Has data issue: false hasContentIssue false
  • English
  • Français

Involutions of Double Affine Hecke Algebras

Published online by Cambridge University Press:  04 December 2007

Bogdan Ion
Bogdan Ion
Affiliation:
Department of Mathematics, Princeton University, Princeton, NJ-08544, U.S.A. e-mail: bogdan@math.princeton.edu
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We prove the existence of an involution on double affine Hecke algebras. This involution plays a central role in the theory of Macdonald polynomials, being responsible for a Fourier type duality and allowing the construction of affine intertwiners.

Keywords

Artin groupfundamental groupHecke algebraMacdonald polynomialsregular orbits space
Type
Research Article
Information
Compositio Mathematica , Volume 139 , Issue 1 , October 2003 , pp. 67 - 84
Copyright
© 2003 Kluwer Academic Publishers