4 papers
A classification of finite simply reducible groups of order at most 2000
Yongzhi Luan
We give a computer-assisted classification, up to isomorphism, of all nontrivial finite simply reducible groups of order at most 2000. There are 7889 such groups, all of even order…
A new proof for the partition algorithm of the annihilator varieties of highest weight modules
Zhanqiang Bai, Jing Jiang, Yongzhi Luan
Let be a simple highest weight module of a classical Lie algebra with highest weight , where is half the sum of positive roots. Joseph proved that th…
Dirac cohomology, branching laws and Wallach modules
Chao-Ping Dong, Yongzhi Luan, Haojun Xu
The idea of using Dirac cohomology to study branching laws was initiated by Huang, Pandzić and Zhu in 2013 [HPZ]. One of their results says that the Dirac cohomology of complet…
Dirac series of
Yi-Hao Ding, Chao-Ping Dong, Chengyu Du +2
This paper classifies the Dirac series of , the linear quaternionic real form of complex . One tool for us is a further sharpening of the Helgason-Johnson bound in…