Discrete decomposability of restrictions of \((\mathfrak{g},K)\)-modules for \((G,G^\sigma)\) with an automorphism \(\sigma\) of even order
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Publication:2665242
DOI10.1007/s10711-021-00657-4OpenAlexW3204062424MaRDI QIDQ2665242
Publication date: 18 November 2021
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10711-021-00657-4
Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)
Cites Work
- 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 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 Klein four symmetric pairs of holomorphic type for \(\text{E}_{7(-25)}\)
- Classification of symmetric pairs with discretely decomposable restrictions of \((\mathfrak{g},K)\)-modules
- 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)
- Kobayashi's conjecture on associated varieties for $(\mathrm{E}_{6(-14)},\mathrm{Spin}(8,1))$
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