Triple groups and Cherednik algebras
Quantum Algebra
2009-09-29 v3 Representation Theory
Abstract
The goal of this paper is to define a new class of objects which we call triple groups and to relate them with Cherednik's double affine Hecke algebras. This has as immediate consequences new descriptions of double affine Weyl and Artin groups, the double affine Hecke algebras as well as the corresponding elliptic objects. From the new descriptions we recover results of Cherednik on automorphisms of double affine Hecke algebras.
Cite
@article{arxiv.math/0304186,
title = {Triple groups and Cherednik algebras},
author = {Bogdan Ion and Siddhartha Sahi},
journal= {arXiv preprint arXiv:math/0304186},
year = {2009}
}
Comments
24 pages