Triple groups and Cherednik algebras

Details Triple groups and Cherednik algebras Triple groups and Cherednik algebras

2003-04-15

arxiv.org/abs/math/0304186v3

Mathematics

Quantum Algebra

24 pages

Scientific paper

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.

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