Generic Representations are Induced from Square-Integrable Representations

DOI10.2307/1999466zbMath0559.22008OpenAlexW4235206591MaRDI QIDQ5185269

Ronald L. Lipsman

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999466

zbMATH Keywords

Plancherel measureunitary representationssquare-integrable representationsstability groupreal pointscomplex algebraic groupgeneric classeswell-polarizable linear functionals

Mathematics Subject Classification ID

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

Related Items (1)

\(L^ p\) matrix coefficients for nilpotent Lie groups

Cites Work

• Unitary representations of group extensions. I
• Théorie de Mackey pour les groupes de Lie algébriques
• On the existence of metric polarizations
• Orbit theory and harmonic analysis on Lie groups with co-compact nilradical
• Orbit theory and representations of Lie groups with co-compact radical
• Kirillov's character formula for reductive Lie groups
• Topics in harmonic analysis on solvable algebraic groups
• Harmonic induction on Lie groups.
• Canonical Objects in Kirillov Theory on Nilpotent Lie Groups
• The plancherel formula for group extensions
• Sur les extensions des représentations irréductibles des groupes de Lie nilpotents
• On the Character of Weil's Representation

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