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math.RT2025
The Parabolic K-motivic Hecke Category
Jens Niklas Eberhardt, Arnaud Eteve
We define and study the parabolic K-motivic Hecke category of a (possibly disconnected) Kac-Moody group. Our main result is a combinatorial description via singular K-theory Soerge…
math.RT2025
Jordan decomposition, categorical traces and Deligne-Lusztig theory
Arnaud Eteve
This paper is a continuation of the author's previous work. We use the categorical trace formalism to construct a categorical Jordan decomposition for representations of finite gro…