Shintani Functions, Real Spherical Manifolds, and Symmetry Breaking Operators
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Publication:5265188
DOI10.1007/978-3-319-09934-7_5zbMath1362.22018arXiv1401.0117OpenAlexW1675370199MaRDI QIDQ5265188
Publication date: 22 July 2015
Published in: Developments and Retrospectives in Lie Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.0117
Semisimple Lie groups and their representations (22E46) Differential geometry of symmetric spaces (53C35) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Compactifications; symmetric and spherical varieties (14M27) Automorphic functions in symmetric domains (32N15)
Related Items (17)
Symmetry breaking operators for line bundles over real projective spaces ⋮ A generalization of the Kobayashi–Oshima uniformly bounded multiplicity theorem ⋮ Unnamed Item ⋮ Branching problems in reproducing kernel spaces ⋮ Unnamed Item ⋮ Symmetry breaking operators for strongly spherical reductive pairs ⋮ Relationship between orbit decomposition on the flag varieties and multiplicities of induced representations ⋮ Multiplicity in restricting minimal representations ⋮ Bounded multiplicity theorems for induction and restriction ⋮ Unnamed Item ⋮ Classification of finite-multiplicity symmetric pairs ⋮ Dimension of the space of intertwining operators from degenerate principal series representations ⋮ Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group \(O(p,q)\) ⋮ A program for branching problems in the representation theory of real reductive groups ⋮ The compact picture of symmetry-breaking operators for rank-one orthogonal and unitary groups ⋮ Multiplicity of a degenerate principal series for homogeneous spaces with infinite orbits ⋮ Multiplicity in restricting small representations
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