Complex Algebraic Geometry and Calculation of Multiplicities for Induced Representations of Nilpotent Lie Groups

DOI10.2307/2000880zbMath0651.22004OpenAlexW4229857550MaRDI QIDQ3795898

Frederick P. Greenleaf, Lawrence J. Corwin

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2000880

zbMATH Keywords

coadjoint orbitsirreducible representationsdirect integral decompositioninduced representationirreducible unitary representationmultiplicity functionconnected, simply connected nilpotent Lie groupcomplex nilpotent Lie groups

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Induced representations for locally compact groups (22D30) Real algebraic and real-analytic geometry (14Pxx)

Related Items (5)

Orbital Parameters for Induced and Restricted Representations ⋮ Orbital decompositions of representations of non-simply connected nilpotent groups ⋮ Decomposition of quasi-regular representations induced from discrete subgroups of nilpotent Lie groups ⋮ The orbit method and Gelfand pairs, associated with nilpotent Lie groups ⋮ Unnamed Item

Cites Work

• Spectrum and multiplicities for restrictions of unitary representations in nilpotent Lie groups
• Real-Analytic Desingularization and Subanalytic Sets: An Elementary Approach
• Direct Integral Decompositions and Multiplicities for Induced Representations of Nilpotent Lie Groups
• Unitary representations of solvable Lie groups
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