Some small unipotent representations of indefinite orthogonal groups

DOI10.1016/j.jfa.2003.09.003zbMath1054.22012OpenAlexW2024696243MaRDI QIDQ1883593

Peter E. Trapa

Publication date: 13 October 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.09.003

zbMATH Keywords

orthogonal groupsorbit methodunipotent representationssingular unitary representations

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (8)

On the wavefront sets associated with theta representations ⋮ Irreducible Characters and Semisimple Coadjoint Orbits ⋮ Transfers of \(K\)-types on local theta lifts of characters and unitary lowest weight modules ⋮ Dual pair correspondences for non-linear covers of orthogonal groups ⋮ Some genuine small representations of a nonlinear double cover ⋮ Representations associated to small nilpotent orbits for real Spin groups ⋮ Modular forms on non-linear double covers of algebraic groups ⋮ On Borel–de Siebenthal Representations

Cites Work

• Unnamed Item
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• Primitive ideals and orbital integrals in complex exceptional groups
• Unitary derived functor modules with small spectrum
• Unipotent representations of complex semisimple groups
• Primitive ideals and orbital integrals in complex classical groups
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple
• Nilpotent orbits and some small unitary representations of indefinite orthogonal groups.
• Richardson orbits for real classical groups
• Differential operators on homogeneous spaces. I: Irreducibility of the associated variety for annihilators of induced modules
• One-dimensional representations of \({U(p,q)}\) and the Howe correspondence
• On the unitary dual of real reductive Lie groups and the \(A_g(\lambda)\) modules: The strongly regular case
• Unitary Representations of Reductive Lie Groups. (AM-118)
• On quaternionic discrete series representations, and their continuations.
• Cells of Harish-Chandra modules for real classical groups
• The Analytic Continuation of the Discrete Series. II
• The closure ordering of adjoint nilpotent orbits in \(\mathfrak{so}(p,q)\)

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