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

DOI10.3792/pjaa.69.262zbMath0826.22014OpenAlexW2089669478MaRDI QIDQ1318927

Toshiyuki Kobayashi

Publication date: 8 November 1995

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

Full work available at URL: https://doi.org/10.3792/pjaa.69.262

zbMATH Keywords

unitary representationsirreducible representationsdiscrete series representationsreal reductive Lie groupsrestrictions of representationsreductive symmetric pairs

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) General properties and structure of real Lie groups (22E15)

Related Items (17)

Restriction of square integrable representations: discrete spectrum ⋮ Classification of Klein four symmetric pairs of holomorphic type for \(\mathrm{E}_{6(-14)}\) ⋮ BRANCHING RULES OF SINGULAR UNITARY REPRESENTATIONS WITH RESPECT TO SYMMETRIC PAIRS (A_2n-1, D_n) ⋮ The restriction of \(A_ q(\lambda)\) to reductive subgroups. II ⋮ Invariant differential operators on spherical homogeneous spaces with overgroups ⋮ \(L^ p\)-analysis on homogeneous manifolds of reductive type and representation theory ⋮ Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups ⋮ Discrete components in restriction of unitary representations of rank one semisimple Lie groups ⋮ Bounded multiplicity theorems for induction and restriction ⋮ On a branching law of unitary representations and a conjecture of Kobayashi ⋮ Branching rules of Dolbeault cohomology groups over indefinite Grassmannian manifolds ⋮ Branching laws for square integrable 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 ⋮ Covariant quantization: spectral analysis versus deformation theory ⋮ Nilpotent orbits of \(\mathbb Z_4\)-graded Lie algebra and geometry of moment maps associated to the dual pair \((U(p,q),U(r,s))\) ⋮ Unnamed Item

Cites Work

• Restrictions and expansions of holomorphic representations
• Representations of real reductive Lie groups
• Arithmetic automorphic forms for the nonholomorphic discrete series of \(GSp(2)\)
• A proof of Blattner's conjecture
• Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications
• Unitary Representations of Reductive Lie Groups. (AM-118)
• Singular unitary representations and discrete series for indefinite Stiefel manifolds 𝑈(𝑝,𝑞;𝐹)/𝑈(𝑝-𝑚,𝑞;𝐹)
• The characters of the holomorphic discrete series
• Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations
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• Unnamed Item
• Unnamed Item

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