Weak quadratic overgroups for a class of Lie groups

DOI10.1007/s00605-012-0438-1zbMath1278.22004OpenAlexW2060519107WikidataQ115385591 ScholiaQ115385591MaRDI QIDQ359636

Didier Arnal, Lobna Abdelmoula, Mohamed Selmi

Publication date: 12 August 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-012-0438-1

zbMATH Keywords

solvable Lie groupsconvex hull separationmoment separationmoment setweak quadratic overgroups

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (2)

Weak quadratic overgroups for type I solvable Lie groups of the form \(\mathbb{R}\ltimes\mathbb{R}^n\) ⋮ Separation of coadjoint orbits of generalized diamond Lie groups

Cites Work

• Separation of representations with quadratic overgroups
• Erratum to ``Separation of representations with quadratic overgroups
• Moment sets and unitary dual for the diamond group
• Adjoint and trivial cohomologies of nilpotent complex Lie algebras of dimension \(\leq 7\)
• The convexity of the moment map of a Lie group
• Convexity and unitary representations of nilpotent Lie groups
• Separation of coadjoint orbits of an exponential group by their convex envelops
• Separation of unitary representations of connected Lie groups by their moment sets
• Construction of canonical coordinates for exponential Lie groups
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