Classification of Klein four symmetric pairs of holomorphic type for \(\text{E}_{7(-25)}\)

DOI10.1007/s10711-018-0406-6zbMath1470.22003arXiv1804.04004OpenAlexW3105628226MaRDI QIDQ2273264

Haian He

Publication date: 18 September 2019

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.04004

zbMATH Keywords

branching ruleadmissibleLie group of Hermitian typeholomorphic typeKlein four symmetric pair

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46)

Related Items (6)

On the discretely decomposable restrictions of (𝔤,K)-modules for Klein four symmetric pairs ⋮ 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 ⋮ Discretely decomposable restrictions of (𝔤,K)-modules for Klein four symmetric pairs of exceptional Lie groups of Hermitian type ⋮ A criterion for discrete branching laws for Klein four symmetric pairs and its application to E6(−14) ⋮ A necessary condition for discrete branching laws for Klein four symmetric pairs

Cites Work

• Klein four-subgroups of Lie algebra automorphisms
• Elementary abelian 2-subgroups of compact Lie groups
• Discrete decomposability of the restriction of \(A_q(\lambda)\) with respect to reductive subgroups. II: Micro-local analysis and asymptotic \(K\)-support
• Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications
• Discrete decomposability of the restriction of \(A_{{\mathfrak q}}(\lambda)\) with respect to reductive subgroups. III: Restriction of Harish-Chandra modules and associated varieties
• Classification of Klein four symmetric pairs of holomorphic type for \(\mathrm{E}_{6(-14)}\)
• Classification of symmetric pairs with discretely decomposable restrictions of \((\mathfrak{g},K)\)-modules
• A program for branching problems in the representation theory of real reductive groups
• Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs
• Les espaces symétriques noncompacts
• Lie groups beyond an introduction

This page was built for publication: Classification of Klein four symmetric pairs of holomorphic type for \(\text{E}_{7(-25)}\)