Branching laws of Klein four-symmetric pairs for $$\textrm{Sp}(n,\mathbb {R})$$

DOI10.1007/S10711-024-00922-2MaRDI QIDQ6493750

Unnamed Author, Haian He, Unnamed Author, Lifu Wang

Publication date: 29 April 2024

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

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Cites Work

• 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
• 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 Klein four symmetric pairs of holomorphic type for \(\text{E}_{7(-25)}\)
• A necessary condition for discrete branching laws for Klein four symmetric pairs
• On the discretely decomposable restrictions of (𝔤,K)-modules for Klein four symmetric pairs

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