Geometry of multiplicity-free representations of GL(\(n\)), visible actions on flag varieties, and triunity

DOI10.1023/B:ACAP.0000024198.46928.0czbMath1050.22018OpenAlexW2081678155MaRDI QIDQ1876547

Toshiyuki Kobayashi

Publication date: 20 August 2004

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:acap.0000024198.46928.0c

zbMATH Keywords

unitary representationflag varietysemisimple Lie grouptotally realtensor productmultiplicity-free representationvisible actionbranching law

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) 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 (17)

Geometry of multiplicity-free representations of \(\mathrm{SO}(N)\) and visible actions ⋮ Visible actions of compact Lie groups on complex spherical varieties ⋮ Corwin-Greenleaf multiplicity functions for Hermitian symmetric spaces ⋮ Visible actions and criteria for multiplicity-freeness of representations of Heisenberg groups ⋮ Visible actions on flag varieties of type D and a generalization of the Cartan decomposition ⋮ Visible actions on flag varieties of type C and a generalization of the Cartan decomposition ⋮ 3d Coulomb branch and 5d Higgs branch at infinite coupling ⋮ Visible actions on flag varieties of exceptional groups and a generalization of the Cartan decomposition ⋮ Classification of visible actions on flag varieties ⋮ Visible actions on irreducible multiplicity-free spaces ⋮ CORWIN–GREENLEAF MULTIPLICITY FUNCTIONS FOR HERMITIAN SYMMETRIC SPACES AND MULTIPLICITY-ONE THEOREM IN THE ORBIT METHOD ⋮ A characterization of non-tube type Hermitian symmetric spaces by visible actions ⋮ Visible actions on the non-symmetric homogeneous space SO(8, ℂ)/G 2(ℂ) ⋮ A geometric formula for multiplicities of 𝐾-types of tempered representations ⋮ VISIBLE ACTIONS ON FLAG VARIETIES OF TYPE B AND A GENERALISATION OF THE CARTAN DECOMPOSITION ⋮ Corwin–Greenleaf multiplicity functions for complex semisimple symmetric spaces ⋮ Propagation of Multiplicity-Freeness Property for Holomorphic Vector Bundles

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