OPERATOR KERNELS FOR IRREDUCIBLE REPRESENTATIONS OF EXPONENTIAL LIE GROUPS

DOI10.1017/S0004972708000750zbMath1153.43001OpenAlexW2031351227WikidataQ115336893 ScholiaQ115336893MaRDI QIDQ3540991

Detlev Poguntke

Publication date: 25 November 2008

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

Full work available at URL: https://doi.org/10.1017/s0004972708000750

zbMATH Keywords

polarizationsexponential solvable Lie groupssmooth kernelsBeurling algebrasconcrete realizations of representations

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) (L^1)-algebras on groups, semigroups, etc. (43A20)

Cites Work

• Algebraically irreducible representations of \(L^ 1\)-algebras of exponential Lie groups
• On a connection between nilpotent groups and oscillatory integrals associated to singularities
• Gewisse Segalsche Algebren auf lokalkompakten Gruppen
• Unitary representation theory of exponential Lie groups
• Irreduzible Darstellungen von Exponentialgruppen und Operatoren mit glatten Kernen

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