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

作者：Sasaki Atsumu^*

来源：Proceedings of the Japan Academy Series A-Mathematical Sciences, 2015, 91(5): 70-75.

DOI：10.3792/pjaa.91.70

• Multiplicity-free representation
• admissible representation
• visible action
• (real) spherical variety
• Hermitian symmetric space
• tube type domain

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.

• 出版日期2015-5