Zhanqiang Bai

activity

20232026

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3 papers · 1 filter

math.RT2023

Irreducible representations of $GL_{n} (C)$ of minimal Gelfand-Kirillov dimension

Zhanqiang Bai, Yangyang Chen, Dongwen Liu +1

In this article, by studying the Bernstein degrees and Goldie rank polynomials, we establish a comparison between the irreducible representations of $G = GL_{n} (C)$ p…

math.RT2023

On the reducibility of scalar generalized Verma modules associated to two-step nilpotent parabolic subalgebras

Zhanqiang Bai, Minyan Fang, Zhaojun Wang

Let $g$ be a simple complex Lie algebra.A generalized Verma module induced from a one-dimensional representation of a parabolic subalgebra of $g$ is called a…

math.RT2023

An explicit characterization of socular simple modules of $sl (n, C)$

Zhanqiang Bai, Wei Xiao, Xun Xie

Let $g$ be a simple complex Lie algebra with a Cartan subalgebra $h$ . We fix a standard parabolic subalgebra $p \supset h$ . The socular s…

Irreducible representations of GLn​(C) of minimal Gelfand-Kirillov dimension

On the reducibility of scalar generalized Verma modules associated to two-step nilpotent parabolic subalgebras

An explicit characterization of socular simple modules of sl(n,C)

Irreducible representations of $GL_{n} (C)$ of minimal Gelfand-Kirillov dimension

An explicit characterization of socular simple modules of $sl (n, C)$