Dongwen Liu

collaborators

3 papers

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

Arithmetic Branching Law and generic $L$ -packets

Cheng Chen, Dihua Jiang, Dongwen Liu +1

Let $G$ be a classical group defined over a local field $F$ of characteristic zero. For any irreducible admissible representation $π$ of $G (F)$ , which is of Casselman-Wallach type…

physics.optics2012

Large phase shift of spatial soliton in lead glass by cross-phase modulation in pump-signal geometry

Qian Shou, Dongwen Liu, Xiang Zhang +2

We investigate the large phase shifts of the bi-color spatial soliton pair in a cylindrical lead glass rod. The theoretical study suggests a synchronous propagation of a strong pum…

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

Arithmetic Branching Law and generic L-packets

Large phase shift of spatial soliton in lead glass by cross-phase modulation in pump-signal geometry

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

Arithmetic Branching Law and generic $L$ -packets