## Proceedings of the Japan Academy, Series A, Mathematical Sciences

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

Atsumu Sasaki

#### Abstract

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.

#### Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 91, Number 5 (2015), 70-75.

Dates
First available in Project Euclid: 30 April 2015

https://projecteuclid.org/euclid.pja/1430397896

Digital Object Identifier
doi:10.3792/pjaa.91.70

Mathematical Reviews number (MathSciNet)
MR3342030

Zentralblatt MATH identifier
1333.22011

#### Citation

Sasaki, Atsumu. Admissible representations, multiplicity-free representations and visible actions on non-tube type Hermitian symmetric spaces. Proc. Japan Acad. Ser. A Math. Sci. 91 (2015), no. 5, 70--75. doi:10.3792/pjaa.91.70. https://projecteuclid.org/euclid.pja/1430397896

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