On the discretely decomposable restrictions of (𝔤,K)-modules for Klein four symmetric pairs-Reference-Cited by-同舟云学术

On the discretely decomposable restrictions of (𝔤,K)-modules for Klein four symmetric pairs

Published:2023-01 Issue:01 Volume:34 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Chen Yilian¹,He Haian¹^ORCID

Affiliation:

1. Department of Mathematics, College of Sciences, Shanghai University, No. 99 Shangda Road, Baoshan District, Shanghai 200444, P. R. China

Abstract

We prove a criterion for Klein four symmetric pairs [Formula: see text] satisfying the condition that there exist infinite-dimensional simple [Formula: see text]-modules which are discretely decomposable as [Formula: see text]-modules. Making use of the criterion, we classify all the Klein four symmetric pairs satisfying the condition for the exceptional Lie groups of Hermitian type: [Formula: see text] and [Formula: see text].

Funder

National Natural Science Foundation of China

Natural Science Foundation of Shanghai

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X2250094X

Reference13 articles.

1. Classification of Klein four symmetric pairs of holomorphic type for $$\mathrm {E}_{6(-14)}$$ E 6 ( - 14 )

2. Classification of Klein four symmetric pairs of holomorphic type for $$\mathrm {E}_{7(-25)}$$ E 7 ( - 25 )

3. Discretely decomposable restrictions of (𝔤,K)-modules for Klein four symmetric pairs of exceptional Lie groups of Hermitian type

4. A criterion for discrete branching laws for Klein four symmetric pairs and its application to E6(−14)

5. A necessary condition for discrete branching laws for Klein four symmetric pairs

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Branching laws of Klein four-symmetric pairs for $$\textrm{Sp}(n,\mathbb {R})$$;Geometriae Dedicata;2024-04-11