4 papers
Gelfand-Kirillov dimensions and annihilator varieties of highest weight modules of exceptional Lie algebras
Zhanqiang Bai, Fan Gao, Yutong Wang +1
Let be an irreducible highest weight module of a complex simple Lie algebra of exceptional type, with highest weight , where is half the sum of positive roots. Its…
On the associated variety of a highest weight Harish-Chandra module
Zhanqiang Bai, Markus Hunziker, Xun Xie +1
We prove a simple formula that calculates the associated variety of a highest weight Harish-Chandra module directly from its highest weight. We also give a formula for the Gelfand-…
An explicit characterization of socular simple modules of
Zhanqiang Bai, Wei Xiao, Xun Xie
Let be a simple complex Lie algebra with a Cartan subalgebra . We fix a standard parabolic subalgebra . The socular s…
On the cells and associated varieties of highest weight Harish-Chandra modules
Zhanqiang Bai, Yixin Bao, Zhao Liang +1
Let be a Hermitian type Lie group with the complexified Lie algebra . We use to denote a highest weight Harish-Chandra -module with infinitesimal charac…