Classification of symmetric pairs with discretely decomposable restrictions of \((\mathfrak{g},K)\)-modules

DOI10.1515/crelle-2013-0045zbMath1321.22016arXiv1202.5743OpenAlexW3103208796MaRDI QIDQ2515819

Yoshiki Oshima, Toshiyuki Kobayashi

Publication date: 6 August 2015

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5743

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Differential geometry of symmetric spaces (53C35)

Related Items

On the discretely decomposable restrictions of (𝔤,K)-modules for Klein four symmetric pairs ⋮ Classification of minimal representations of real simple Lie groups ⋮ Kobayashi's conjecture on associated varieties for $(\mathrm{E}_{6(-14)},\mathrm{Spin}(8,1))$ ⋮ Discrete decomposability of restrictions of \((\mathfrak{g},K)\)-modules for \((G,G^\sigma)\) with an automorphism \(\sigma\) of even order ⋮ Multiplicity in restricting minimal representations ⋮ Bounded multiplicity theorems for induction and restriction ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Classification of finite-multiplicity symmetric pairs ⋮ Classification of Klein four symmetric pairs of holomorphic type for \(\text{E}_{7(-25)}\) ⋮ Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group \(O(p,q)\) ⋮ Discretely decomposable restrictions of (𝔤,K)-modules for Klein four symmetric pairs of exceptional Lie groups of Hermitian type ⋮ A program for branching problems in the representation theory of real reductive groups ⋮ Unnamed Item ⋮ A criterion for discrete branching laws for Klein four symmetric pairs and its application to E6(−14) ⋮ On Borel–de Siebenthal Representations ⋮ Unnamed Item ⋮ Multiplicity in restricting small representations ⋮ A necessary condition for discrete branching laws for Klein four symmetric pairs