Cocenters and representations of affine Hecke algebra
Dan Ciubotaru, Xuhua He
TL;DR
This paper explores the connection between the cocenter and the representation theory of affine Hecke algebras, focusing on the interaction between the rigid cocenter and the rigid quotient of the Grothendieck group.
Contribution
It introduces the concept of the rigid cocenter and examines its relationship with the rigid quotient in the representation theory of affine Hecke algebras.
Findings
Identifies the role of the rigid cocenter in affine Hecke algebra representations
Establishes a link between the rigid cocenter and the rigid quotient
Provides new insights into the structure of affine Hecke algebra representations
Abstract
In this paper, we study the relation 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.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Advanced Topics in Algebra