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

DOI10.1007/s10711-018-0319-4zbMath1445.17003arXiv1707.04436OpenAlexW3101837766MaRDI QIDQ1622903

Haian He

Publication date: 21 November 2018

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

Full work available at URL: https://arxiv.org/abs/1707.04436

zbMATH Keywords

reductive Lie groupadmissible representationholomorphic 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

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

• Unnamed Item
• Unnamed Item
• Klein four-subgroups of Lie algebra automorphisms
• Elementary abelian 2-subgroups of compact Lie groups
• Classification of discretely decomposable \(A_{\mathfrak q}(\lambda)\) with respect to reductive symmetric pairs
• Discrete decomposability of the restriction of \(A_q(\lambda)\) with respect to reductive subgroups. II: Micro-local analysis and asymptotic \(K\)-support
• The restriction of \(A_ q(\lambda)\) to reductive subgroups
• Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications
• 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
• Representations of Semisimple Lie Groups IV
• Les espaces symétriques noncompacts
• Representations of a Semisimple Lie Group on a Banach Space. I
• Representations of semisimple Lie groups. II
• Lie groups beyond an introduction