Cocenters and representations of affine Hecke algebras
Journal of the European Mathematical Society, Tome 19 (2017) no. 10, pp. 3143-3177.

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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.
DOI : 10.4171/jems/737
Classification : 20-XX, 22-XX
Keywords: Affine Hecke algebra, cocenter, density theorem, trace Paley–Wiener theorem
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     author = {Dan Ciubotaru and Xuhua He},
     title = {Cocenters and representations of affine {Hecke} algebras},
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     pages = {3143--3177},
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     doi = {10.4171/jems/737},
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Dan Ciubotaru; Xuhua He. Cocenters and representations of affine Hecke algebras. Journal of the European Mathematical Society, Tome 19 (2017) no. 10, pp. 3143-3177. doi : 10.4171/jems/737. http://geodesic.mathdoc.fr/articles/10.4171/jems/737/

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