Cocenters and representations of affine Hecke algebras

Dan Ciubotaru University of Oxford Xuhua He University of Maryland

Representation Theory mathscidoc:1803.30002

J. Eur. Math. Soc., 19, 3143--3177., 2017
In this paper, we study the relationship between the cocenter and the representation theory of affine Hecke algebras. The approach is based on the interaction between the rigid cocenter, an important subspace of the cocenter, and the dual object in representation theory, the rigid quotient of the Grothendieck group of finite dimensional representations.
affine Hecke algebra, cocenter, density theorem, trace Paley-Wiener theorem
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  title={Cocenters and representations of affine Hecke algebras},
  author={Dan Ciubotaru, and Xuhua He},
  booktitle={J. Eur. Math. Soc.},
Dan Ciubotaru, and Xuhua He. Cocenters and representations of affine Hecke algebras. 2017. Vol. 19. In J. Eur. Math. Soc.. pp.3143--3177..
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