Algebraically irreducible representations of \(L^ 1\)-algebras of exponential Lie groups

DOI10.1215/S0012-7094-83-05045-7zbMath0555.43005OpenAlexW2061376249MaRDI QIDQ760627

Detlev Poguntke

Publication date: 1983

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-83-05045-7

zbMATH Keywords

locally compact groupalgebraically irreducible representationsexponential Lie groupssimple \(L^ 1(G)\)-modules

Mathematics Subject Classification ID

(L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (7)

Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras. Amitsur's theory revisited ⋮ OPERATOR KERNELS FOR IRREDUCIBLE REPRESENTATIONS OF EXPONENTIAL LIE GROUPS ⋮ L 1-determined ideals in group algebras of exponential Lie groups ⋮ *-regularity and uniqueness of \(C^*\)-norm for tensor products of *- algebras ⋮ Exponential actions, orbits and their kernels ⋮ Spectral synthesis for flat orbits in the dual space of weighted group algebras of nilpotent Lie groups ⋮ Über das Synthese-Problem für nilpotente Liesche Gruppen

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