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Double Affine Hecke Algebras and Affine Flag Manifolds, I

  • Michela Varagnolo
  • Eric Vasserot
Part of the Trends in Mathematics book series (TM)

Abstract

This is the first of a series of papers which review the geometric construction of the double affine Hecke algebra via affine flag manifolds and explain the main results of the authors on its representation theory. There are also some simplifications of the original arguments and proofs for some well-known results for which there exists no reference.

Mathematics Subject Classification (2000)

20C08 14M15 16E20 

Keywords

Ind-scheme affine flag manifold K-theory Hecke algebra 

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Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  • Michela Varagnolo
    • 1
  • Eric Vasserot
    • 2
  1. 1.Département de MathématiquesUniversité de Cergy-PontoiseCergy-Pontoise CedexFrance
  2. 2.Département de MathématiquesUniversité Paris 7ParisFrance

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