Separation of representations with quadratic overgroups

DOI10.1016/j.bulsci.2010.12.001zbMath1216.22008OpenAlexW2086651177MaRDI QIDQ630618

Didier Arnal, Amel Zergane, Mohamed Selmi

Publication date: 17 March 2011

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2010.12.001

zbMATH Keywords

moment mapLie groups representationsquadratic overgroup

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)

Related Items (2)

Weak quadratic overgroups for a class of Lie groups ⋮ Erratum to ``Separation of representations with quadratic overgroups

Cites Work

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• The convexity of the moment map of a Lie group
• Convexity and unitary representations of nilpotent Lie groups
• Convexity properties of the moment mapping. III
• Separation of coadjoint orbits of an exponential group by their convex envelops
• Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore
• Separation of unitary representations of connected Lie groups by their moment sets
• Irreducible unitary representations of the Lorentz group
• Representations of a semi-direct product by quantization
• La structure de Poisson sur l'algèbre symétrique d'une algèbre de Lie nilpotente

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