JournalsjemsVol. 19, No. 10pp. 3143–3177

Cocenters and representations of affine Hecke algebras

  • Dan Ciubotaru

    University of Oxford, UK

  • Xuhua He

    University of Maryland, College Park, USA and HKUST, Hong Kong, China
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Abstract

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.

Cite this article

Dan Ciubotaru, Xuhua He, Cocenters and representations of affine Hecke algebras. J. Eur. Math. Soc. 19 (2017), no. 10, pp. 3143–3177

DOI 10.4171/JEMS/737