C. Tsai

collaborators

Showing math.RTShow all

4 papers · 1 filter

math.RT2026

Jordan decompositions in Lie algebras and their duals

Loren Spice, Cheng-Chiang Tsai

We provide a discussion of Jordan decompositions in the Lie algebra, and the dual Lie algebra, of a reductive group in as uniform a way as possible. We give a counterexample to the…

math.RT2025

Cuspidal character sheaves on graded Lie algebras

Wille Liu, Cheng-Chiang Tsai, Kari Vilonen +1

We show in this paper that in the context of graded Lie algebras, all cuspidal character sheaves arise from a nearby-cycle construction followed by a Fourier--Sato transform in a v…

math.RT2025

Local character expansion for mod- $ℓ$ representations

Cheng-Chiang Tsai

Let $G$ be a $p$ -adic reductive group with $p$ ``very large.'' For any irreducible admissible representation $I ¨ $ of $G$ over an algebraically closed field $C$ of characteristic $\…

math.RT2025

Local characters of mod- $ℓ$ representations of a $p$ -adic reductive group

Cheng-Chiang Tsai

We define the ``lifted character'' of mod- $ℓ$ representations of $p$ -adic reductive groups where $ℓ \neq = p$ , on compact elements with pro-orders not divisible by $ℓ$ . We ge…

Jordan decompositions in Lie algebras and their duals

Cuspidal character sheaves on graded Lie algebras

Local character expansion for mod-ℓ representations

Local characters of mod-ℓ representations of a p-adic reductive group

Local character expansion for mod- $ℓ$ representations

Local characters of mod- $ℓ$ representations of a $p$ -adic reductive group