Moment sets and unitary dual for the diamond group

DOI10.1016/j.bulsci.2010.02.002zbMath1191.22004OpenAlexW1999963174MaRDI QIDQ977447

Lobna Abdelmoula

Publication date: 22 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.bulsci.2010.02.002

zbMATH Keywords

quotient groupmoment setdiamond Lie groupovergroupunitary irreducible representation

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 (3)

Separation of coadjoint orbits of generalized diamond Lie groups ⋮ Weak quadratic overgroups for a class of Lie groups ⋮ Quadratic overgroups for diamond Lie groups

Cites Work

• The convexity of the moment map of a Lie group
• Separation of coadjoint orbits of an exponential group by their convex envelops
• Separation of unitary representations of connected Lie groups by their moment sets
• The Moment Map of a Lie Group Representation
• Unitary representations of solvable Lie groups
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