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Concept information

algebra > representation theory > double affine Hecke algebra
algebra > abstract algebra > algebraic structure > associative algebra > double affine Hecke algebra
mathematical physics > differential operator > double affine Hecke algebra

Terme préférentiel

double affine Hecke algebra  

Définition(s)

  • 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)

Synonyme(s)

  • Cherednik algebra

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-BR8BWGJ5-C

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RDF/XML TURTLE JSON-LD Date de création 04/08/2023, dernière modif. 04/08/2023