Entrelacement des restrictions des représentations unitaires des groupes de Lie nilpotents. (Intertwining of restriction of unitary representations of nilpotent Lie groups)

DOI10.5802/aif.1827zbMath0972.22006OpenAlexW1275819166MaRDI QIDQ5928782

Jean Ludwig, Ali Baklouti

Publication date: 4 April 2001

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2001__51_2_395_0

zbMATH Keywords

intertwining operatorrepresentationnilpotent Lie grouppolarizationalgebraic setcoadjoint orbitdesintegrationorbit

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30)

Related Items (2)

A smooth family of intertwining operators ⋮ Disintegrating tensor representations of nilpotent Lie groups

Cites Work

• Sur les restrictions des représentations unitaires des groupes de Lie résolubles exponentiels. (On the restrictions of unitary representations of exponential solvable Lie groups)
• Spectrum and multiplicities for restrictions of unitary representations in nilpotent Lie groups
• On a connection between nilpotent groups and oscillatory integrals associated to singularities
• On the nilpotent \(*\)-Fourier transform
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• A canonical approach to multiplicity formulas for induced and restricted representations of nilpotent lie groups
• Orbital Parameters for Induced and Restricted Representations
• Dual topology of a nilpotent Lie group
• Restricting Representations of Completely Solvable Lie Groups
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