Stability of branching laws for spherical varieties and highest weight modules

DOI10.3792/pjaa.89.144zbMath1290.22007OpenAlexW2055078895MaRDI QIDQ2448590

Masatoshi Kitagawa

Publication date: 2 May 2014

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1385995676

zbMATH Keywords

semisimple Lie groupmultiplicity-free representationbranching rulesymmetric pairhighest weight modulespherical variety

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Noncompact Lie groups of transformations (57S20)

Cites Work

• Espaces homogènes sphériques. (Spherical homogeneous spaces)
• The invariants of unipotent radicals of parabolic subgroups
• Contractions of the actions of reductive algebraic groups in arbitrary characteristic
• Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications
• Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups
• Stability of branching laws for highest weight modules.
• Proof of the Knop conjecture
• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
• 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
• The Structure of Semisimple Symmetric Spaces
• Extensions of Representations of Algebraic Linear Groups
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