Double affine Hecke algebra

id: double-affine-hecke-algebra-217-792223
title: Double affine Hecke algebra
text: In mathematics, a double affine Hecke algebra, or Cherednik algebra, is an algebra containing the Hecke algebra of an affine Weyl group, given as the quotient of the group ring of a double affine braid group. They were introduced by Cherednik, who used them to prove Macdonald's constant term conjecture for Macdonald polynomials. Infinitesimal Cherednik algebras have significant implications in representation theory, and therefore have important applications in particle physics and chemistry.
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original url: https://en.wikipedia.org/wiki/Double_affine_Hecke_algebra
date created: 2011-06-09T21:42:06Z
date modified: 2024-09-13T01:47:01Z
main entity: {"identifier":"Q5299963","url":"https://www.wikidata.org/entity/Q5299963"}
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