
arXiv: 1409.0902
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.
rigid cocenters, Affine Hecke algebra, elleptic cocenters, Cocenter, Representations of Lie and linear algebraic groups over local fields, Density theorem, Hecke algebras and their representations, Reflection and Coxeter groups (group-theoretic aspects), Trace Paley-Wiener theorem, FOS: Mathematics, cocenters, Representation Theory (math.RT), affine Hecke algebras, Mathematics - Representation Theory, Conjugacy classes for groups
rigid cocenters, Affine Hecke algebra, elleptic cocenters, Cocenter, Representations of Lie and linear algebraic groups over local fields, Density theorem, Hecke algebras and their representations, Reflection and Coxeter groups (group-theoretic aspects), Trace Paley-Wiener theorem, FOS: Mathematics, cocenters, Representation Theory (math.RT), affine Hecke algebras, Mathematics - Representation Theory, Conjugacy classes for groups
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