Flat orbits and kernels of irreducible representations of the group algebra of a completely solvable Lie group

DOI10.1016/J.JFA.2010.03.004zbMath1191.22003OpenAlexW1966755925MaRDI QIDQ973944

Jean Ludwig, Mounir Elloumi, Hanen Koubaa

Publication date: 26 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.03.004

zbMATH Keywords

group algebrascompletely solvable Lie groupsflat orbitskernels of induced representations

Mathematics Subject Classification ID

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

Cites Work

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• On the Hilbert-Schmidt semi-norms of \(L^ 1\) of a nilpotent Lie group
• *-regularity of exponential Lie groups
• The injection and the projection theorem for spectral sets
• Good ideals in the group algebra of a nilpotent Lie group
• Unitary representation theory of exponential Lie groups

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