10 citations · 55 across the 28 of their papers we have counts for
21 papers · 1 filter
Cuspidal character sheaves on graded exceptional Lie algebras: stable gradings
Ting Xue
We determine cuspidal character sheaves explicitly for all (GIT) stably graded exceptional Lie algebras.
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…
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…
Character sheaves for classical graded Lie algebras
Ting Xue
In this note we study character sheaves for graded Lie algebras arising from inner automorphisms of special linear groups and Vinberg's type II classical graded Lie algebras.
Invariant systems and character sheaves for graded Lie algebras
Kari Vilonen, Ting Xue
In this paper we introduce a new ingredient, invariant systems of differential equations, to our study of character sheaves on graded Lie algebras. The character sheaves we constru…
Character sheaves for symmetric pairs: spin groups
Ting Xue
We determine character sheaves for symmetric pairs associated to spin groups. In particular, we determine the cupsidal character sheaves and show that they can be obtained via the…