10 citations · 55 across the 28 of their papers we have counts for
5 papers · 1 filter
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…
Character sheaves for symmetric pairs: special linear groups
Kari Vilonen, Ting Xue
We give an explicit description of character sheaves for the symmetric pairs associated to inner involutions of the special linear groups. We make use of the general strategy given…
A note on Hessenberg varieties
Kari Vilonen, Ting Xue
We give a short proof based on Lusztig's generalized Springer correspondence of some results of [BrCh,BaCr,P].
Character Sheaves for Graded Lie Algebras: Stable Gradings
Kari Vilonen, Ting Xue
In this paper we construct full support character sheaves for stably graded Lie algebras. Conjecturally these are precisely the cuspidal character sheaves. Irreducible representati…