Concept information
Preferred term
double affine Hecke algebra
Definition(s)
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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 in chemistry.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Double_affine_Hecke_algebra)
Broader concept(s)
Synonym(s)
- Cherednik algebra
In other languages
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French
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algèbre de Cherednik
URI
http://data.loterre.fr/ark:/67375/PSR-BR8BWGJ5-C
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