VISIBLE ACTIONS ON FLAG VARIETIES OF TYPE B AND A GENERALISATION OF THE CARTAN DECOMPOSITION

DOI10.1017/S0004972712000615zbMath1347.22012MaRDI QIDQ2847599

Yuichiro Tanaka

Publication date: 11 September 2013

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

zbMATH Keywords

flag varietysemisimple Lie groupCartan decompositionmultiplicity-free representationvisible actionherringbone stitch

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Semisimple Lie groups and their representations (22E46) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (2)

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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• A characterization of non-tube type Hermitian symmetric spaces by visible actions
• A generalized Cartan decomposition for the double coset space \((U(n_1)\times U(n_2)\times U(n_3))\setminus U(n)/(U(p)\times U(q))\)
• On spherical double cones
• Double coset decompositions of reductive Lie groups arising from two involutions
• 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
• Propagation of Multiplicity-Freeness Property for Holomorphic Vector Bundles

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