The convexity of the moment map of a Lie group

DOI10.1016/0022-1236(92)90080-3zbMath0763.22006OpenAlexW2003061253MaRDI QIDQ1187998

Jean Ludwig, Didier Arnal

Publication date: 3 August 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(92)90080-3

zbMATH Keywords

convexityunitary representationmoment mapcompact Lie groupsolvable Lie groupmoment setKirillov- Pukanszky orbit

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Semisimple Lie groups and their representations (22E46) Nilpotent and solvable Lie groups (22E25)

Related Items (15)

Compression semigroups on open orbits on real flag manifolds ⋮ Separation of coadjoint orbits of generalized diamond Lie groups ⋮ Weak quadratic overgroups for a class of Lie groups ⋮ A spectral theoretic approach to the Kirillov-Duflo correspondence ⋮ Compression semigroups of open orbits in complex manifolds ⋮ Separation of representations with quadratic overgroups ⋮ A convexity theorem for noncommutative gradient flows ⋮ Separation of coadjoint orbits of an exponential group by their convex envelops ⋮ Representation theory and convexity ⋮ Moment sets and unitary dual for the diamond group ⋮ Quadratic overgroups for diamond Lie groups ⋮ Unnamed Item ⋮ Convexity properties of the moment mapping re-examined ⋮ Separation of unitary representations of connected Lie groups by their moment sets ⋮ Matrix coefficients and coadjoint orbits of compact Lie groups

Cites Work

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• The primitive ideal space of solvable Lie groups
• Convexity and unitary representations of nilpotent Lie groups
• Convexity properties of the moment mapping. III
• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
• COHERENT STATES AND KAHLER MANIFOLDS
• Unitary representations of solvable Lie groups
• Theory of operator algebras I.

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