3 papers
math.RT2026
Lusztig constants and endoscopy
Wille Liu, Wei-Hsuan Hsin, Cheng-Chiang Tsai
We prove that on a semisimple Lie algebra over a finite field of large characteristic, if a complex-valued invariant function and its Fourier transform …
math.RT2025
Cuspidal character sheaves on graded Lie algebras II
Wille Liu, Kari Vilonen, Ting Xue
In this paper we give a complete classification of cyclically graded semisimple Lie algebras that afford cuspidal character sheaves and determine the support of the cuspidal charac…
math.RT2024
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…