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Bounded multiplicity theorems for induction and restriction - MaRDI portal

Bounded multiplicity theorems for induction and restriction (Q5034875)

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scientific article; zbMATH DE number 7477333

Language	Label	Description	Also known as
English	Bounded multiplicity theorems for induction and restriction	scientific article; zbMATH DE number 7477333

Statements

scholarly article

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Toshiyuki Kobayashi

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publication date

21 February 2022

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full work available at URL

https://arxiv.org/abs/2109.14424

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https://www.heldermann.de/JLT/JLT32/JLT321/jlt32011.htm

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zbMATH Keywords

branching law

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multiplicity

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reductive group

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symmetric pair

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visible action

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spherical variety

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.RT

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Tempered homogeneous spaces III

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Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes

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Quelques propriétés des espaces homogènes sphériques. (Some properties of spherical homogeneous spaces)

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Invariant trilinear forms for spherical degenerate principal series of complex symplectic groups

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Generalized Bernstein-Reznikov integrals

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Distributions spheriques sur les espaces hyperboliques

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On orbits in double flag varieties for symmetric pairs

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Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations

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Systems of microdifferential equations. Notes and transl. by Teresa Monteiro Fernandes. Introd. by Jean-Luc Brylinski

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On holonomic systems of microdifferential equations. III: Systems with regular singularities

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The restriction of \(A_ q(\lambda)\) to reductive subgroups

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Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications

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Discrete decomposability of the restriction of \(A_q(\lambda)\) with respect to reductive subgroups. II: Micro-local analysis and asymptotic \(K\)-support

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Discrete decomposability of the restriction of \(A_{{\mathfrak q}}(\lambda)\) with respect to reductive subgroups. III: Restriction of Harish-Chandra modules and associated varieties

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Multiplicity-free representations and visible actions on complex manifolds

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Visible actions on symmetric spaces

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A generalized Cartan decomposition for the double coset space \((U(n_1)\times U(n_2)\times U(n_3))\setminus U(n)/(U(p)\times U(q))\)

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Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs

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Shintani Functions, Real Spherical Manifolds, and Symmetry Breaking Operators

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A program for branching problems in the representation theory of real reductive groups

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Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability

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Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group \(O(p,q)\)

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Classification of finite-multiplicity symmetric pairs

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Analysis on the minimal representation of \(\mathrm O(p,q)\). II: Branching laws.

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Geometric analysis on small unitary representations of \(\text{GL}(N, \mathbb R)\)

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Finite multiplicity theorems for induction and restriction

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Classification of discretely decomposable \(A_{\mathfrak q}(\lambda)\) with respect to reductive symmetric pairs

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Classification of symmetric pairs with discretely decomposable restrictions of \((\mathfrak{g},K)\)-modules

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Symmetry breaking for representations of rank one orthogonal groups

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Symmetry breaking for representations of rank one orthogonal groups. II

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Multiplicity free subgroups of compact connected Lie groups

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On spherical double cones

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Multiple flag varieties of finite type

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Orthogonal multiple flag varieties of finite type I: odd degree case

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Restriction of some unitary representations of O(1,N) to symmetric subgroups

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Real double flag varieties for the symplectic group

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On representations and compactifications of symmetric Riemannian spaces

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Analysis of the Laplacian on a complete Riemannian manifold

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Multiplicity one theorems: the Archimedean case

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Classification of visible actions on flag varieties

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Visible actions of compact Lie groups on complex spherical varieties

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Complexity of action of reductive groups

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Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups

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The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5034875

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