Journal of the European Mathematical Society
Full-Text PDF (314 KB) | Metadata | Table of Contents | JEMS summary
Published online: 2017-09-18
Cocenters and representations of affine Hecke algebrasDan Ciubotaru and Xuhua He (1) University of Oxford, UK
(2) University of Maryland, College Park, USA and HKUST, Hong Kong, China
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.
Keywords: Affine Hecke algebra, cocenter, density theorem, trace Paley–Wiener theorem
Ciubotaru Dan, He Xuhua: Cocenters and representations of affine Hecke algebras. J. Eur. Math. Soc. 19 (2017), 3143-3177. doi: 10.4171/JEMS/737