A criterion for discrete branching laws for Klein four symmetric pairs and its application to E6(−14)

DOI10.1142/S0129167X20500494zbMath1498.22011arXiv1910.14457OpenAlexW3010689327WikidataQ114847109 ScholiaQ114847109MaRDI QIDQ5853652

Haian He

Publication date: 11 March 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.14457

zbMATH Keywords

unitarizable simple \((\mathfrak{g}, K)\)-module

Mathematics Subject Classification ID

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

Related Items (4)

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 ⋮ A necessary condition for discrete branching laws for Klein four symmetric pairs

Cites Work

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• 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 \(\mathrm{E}_{6(-14)}\)
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• Discretely decomposable restrictions of (𝔤,K)-modules for Klein four symmetric pairs of exceptional Lie groups of Hermitian type
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