Visible actions on flag varieties of type D and a generalization of the Cartan decomposition

DOI10.2969/jmsj/06530931zbMath1296.22015OpenAlexW2079804101MaRDI QIDQ371215

Yuichiro Tanaka

Publication date: 30 September 2013

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1374586630

zbMATH Keywords

semisimple Lie groupsgeneralized flag manifoldsanti-holomorphic involutions.generalized Cartan decompositionsmultiplicity-free representationsvisible actions

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Grassmannians, Schubert varieties, flag manifolds (14M15) Semisimple Lie groups and their representations (22E46) Homogeneous complex manifolds (32M10)

Related Items

Geometry of multiplicity-free representations of \(\mathrm{SO}(N)\) and visible actions, Visible actions on flag varieties of type C and a generalization of the Cartan decomposition

Cites Work

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• Young diagrammatic methods for the restriction of representations of complex classical Lie groups to reductive subgroups of maximal rank
• A characterization of non-tube type Hermitian symmetric spaces by visible actions
• A generalized Cartan decomposition for the double coset space \((U(n_1)\times U(n_2)\times U(n_3))\setminus U(n)/(U(p)\times U(q))\)
• Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\)
• On spherical double cones
• Double coset decompositions of reductive Lie groups arising from two involutions
• Multiplicity-free products of Schur functions
• Geometry of multiplicity-free representations of GL(\(n\)), visible actions on flag varieties, and triunity
• Double coset decompositions of algebraic groups arising from two involutions I
• Visible actions on symmetric spaces
• Multiplicity-free representations and visible actions on complex manifolds
• Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs
• Visible Actions on Irreducible Multiplicity-Free Spaces
• A generalization of the Littlewood-Richardson rule
• Lie groups beyond an introduction