Admissible representations, multiplicity-free representations and visible actions on non-tube type Hermitian symmetric spaces

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Atsumu Sasaki¹ 

[1] Department of Mathematics, Faculty of Science, Tokai University

关键词: Multiplicity-free representation;    admissible representation;    visible action;    (real) spherical variety;    Hermitian symmetric space;    tube type domain.;   

DOI  :  10.3792/pjaa.91.70

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

This paper presents new characterization for a non-compact Hermitian symmetric space $G/K$ to be of tube type (or non-tube type) by multiplicities in some branching laws and visible actions. The study in this paper gives an example of a kind of the Cartan decomposition for non-symmetric homogeneous spaces.

【 授权许可】

Unknown