10 citations · 55 across the 28 of their papers we have counts for
28 papers
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…
The Ariki--Koike algebras and Rogers--Ramanujan type partitions
Shane Chern, Zhitai Li, Dennis Stanton +2
In 2000, Ariki and Mathas showed that the simple modules of the Ariki--Koike algebras (when the parameters are root…
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…