scientific article; zbMATH DE number 4194031

zbMath0724.22006MaRDI QIDQ5758388

Ronald L. Lipsman

Publication date: 1990

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1990_4_17_1_127_0

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zbMATH Keywords

Lie algebracoadjoint orbitsinduced representationsorbit methodunitary dualdecomposition formulairreducible unitary representationcompletely solvable Lie groupsconnected subgroup

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Induced representations for locally compact groups (22D30)

Related Items (6)

Analysis of some monomial representations of exponential solvable Lie groups ⋮ Sur les restrictions des représentations unitaires des groupes de Lie résolubles exponentiels. (On the restrictions of unitary representations of exponential solvable Lie groups) ⋮ The multiplicity function of mixed representations on completely solvable Lie groups ⋮ The Structure of the Space of Coadjoint Orbits of an Exponential Solvable Lie Group ⋮ Up-down representations and ergodic theory in nilpotent Lie groups ⋮ Decomposition of quasi-regular representations induced from discrete subgroups of nilpotent Lie groups

Cites Work

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• Unitary representations of group extensions. I
• Harmonic analysis on exponential solvable homogeneous spaces: The algebraic or symmetric cases
• Characters of Lie groups. II: Real polarizations and the orbital-integral character formula
• Representations of exponential Lie groups
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Direct Integral Decompositions and Multiplicities for Induced Representations of Nilpotent Lie Groups
• Complex Algebraic Geometry and Calculation of Multiplicities for Induced Representations of Nilpotent Lie Groups
• Unitary Representations of Lie Groups with Cocompact Radical and Applications
• Orbital Parameters for Induced and Restricted Representations
• Sur les représentations unitaires des groupes de Lie résolubles
• The plancherel formula for group extensions

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