scientific article; zbMATH DE number 7734115

zbMath1522.32053MaRDI QIDQ6178806

Hideko Sekiguchi

Publication date: 5 September 2023

Full work available at URL: https://www.heldermann.de/JLT/JLT33/JLT333/jlt33031.htm

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zbMATH Keywords

coadjoint orbitsindefinite Kähler manifoldHarish-Chandra decompositionreductive Lie groupsBorel embedding

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Integral geometry (53C65) Differential geometry of symmetric spaces (53C35) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

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• 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
• Unitarizability of certain series of representations
• Radon–Penrose transform between symmetric spaces
• Lie groups beyond an introduction
• The Penrose transform for \(\text{Sp}(n,\mathbf R)\) and singular unitary representations

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