753 citations
- University of Hong KongHK55 papers
- University of HoustonUS27 papers
- Lawrence Berkeley National LaboratoryUS24 papers
- Chinese Academy of SciencesCN18 papers
- Institute of SemiconductorsCN10 papers
- Institute of PhysicsPL8 papers
- Fudan UniversityCN5 papers
- Hefei National Center for Physical Sciences at NanoscaleCN5 papers
- University of Science and Technology of ChinaCN5 papers
- Chinese University of Hong KongHK4 papers
- Princeton UniversityUS4 papers
- Rutgers, The State University of New JerseyUS4 papers
6 papers · 1 filter
On frobenius splitting of orbit closures of spherical subgroups in flag varieties
Xuhua He, Jesper Funch Thomsen
Let be a connected spherical subgroup of a semisimple algebraic group . In this paper, we give a criterion for -orbit closures in the flag variety of to have nice geo…
Closure of Steinberg fibers and affine Deligne-Lusztig varieties
Xuhua He
We discuss some connections between the closure of a Steinberg fiber in the wonderful compactification of an adjoint group and the affine Deligne-Lusztig varieties $X_w(1)…
On intersections of certain partitions of a group compactification
Xuhua He, Jiang-Hua Lu
Let be a connected semi-simple algebraic group of adjoint type over an algebraically closed field, and let be the wonderful compactification of . For a fixed…
Character sheaves on the semi-stable locus of a group compactification
Xuhua He
We study the intermediate extension of the character sheaves on an adjoint group to the semi-stable locus of its wonderful compactification. We show that the intermediate extension…
Ad-nilpotent Ideals of Minimal Dimension
Chuying Fang
n this paper we study ad-nilpotent ideals of a complex simple Lie algebra $\ccg$ and their connections with affine Weyl groups and nilpotent orbits. We define a left equivalence re…
Dirac operators and Lie algebra cohomology
Jing-Song Huang, Pavle Pandžić, David Renard
Dirac cohomology is a new tool to study unitary and admissible representations of semisimple Lie groups. It was introduced by Vogan and further studied by Kostant and ourselves \ci…