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Cocenters and representations of affine Hecke algebras

Authors: Ciubotaru, Dan; He, Xuhua;

Cocenters and representations of affine Hecke algebras

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.

Countries
China (People's Republic of), United Kingdom, China (People's Republic of)
Keywords

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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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Average
Green
gold
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