3 citations · 3 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
Local character expansion for mod- representations
Cheng-Chiang Tsai
Let be a -adic reductive group with ``very large.'' For any irreducible admissible representation of over an algebraically closed field of characteristic $\n…
Local characters of mod- representations of a -adic reductive group
Cheng-Chiang Tsai
We define the ``lifted character'' of mod- representations of -adic reductive groups where , on compact elements with pro-orders not divisible by . We ge…
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…
Wave-front sets for -adic Lie algebras
Cheng-Chiang Tsai
We study the wave-front set of an element in a -adic reductive Lie algebra (for ), namely the set of maximal nilpotent orbits appearing in its Shalika g…