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
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
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…