Exponential actions, orbits and their kernels

DOI10.1017/S0004972700031919zbMath0938.43002OpenAlexW1987183251MaRDI QIDQ4209927

Jean Ludwig, Carine Molitor-Braun

Publication date: 15 June 2000

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700031919

zbMATH Keywords

unitary representationsprime idealsnilpotent Lie groupsharmonic synthesisalgebras of Schwartz functions\(\mathcal L^1\)-convolution algebras

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Unitary representations of locally compact groups (22D10) Analysis on other specific Lie groups (43A80) Spectral synthesis on groups, semigroups, etc. (43A45) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (2)

Compact actions, retract theory and prime ideals ⋮ Nilpotent Lie groups: Fourier inversion and prime ideals

Cites Work

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• Algebraically irreducible representations of \(L^ 1\)-algebras of exponential Lie groups
• On the spectral synthesis problem for points in the dual of a nilpotent Lie group
• Über das Synthese-Problem für nilpotente Liesche Gruppen
• The elements of bounded trace in the \(C^*\)-algebra of a nilpotent Lie group
• On primary ideals in the group algebra of a nilpotent Lie group
• Ideal theory in group algebras of locally compact groups
• Räume primitiver Ideale in Gruppenalgebren
• On a connection between nilpotent groups and oscillatory integrals associated to singularities
• Unitary representation theory of exponential Lie groups
• On the unitary representations of exponential groups

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