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3 papers · 1 filter
math.RT2009
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…
math.RT2008
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…
math.RT2005★ 1 cited
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…