Monomial representations of certain exponential Lie groups

DOI10.1016/0022-1236(89)90033-5zbMath0675.22002OpenAlexW2077172177MaRDI QIDQ1122008

Junko Inoue

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90033-5

zbMATH Keywords

Lie algebramultiplicitiesmodular functionorbit methodirreducible constituentsunitary dualirreducible unitary representationFrobenius reciprocityconnected Lie groupunitary charactermonomial representation

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25)

Cites Work

• Abstract Plancherel theorems and a Frobenius reciprocity theorem
• Équations de Cauchy-Riemann tangentielles associées à un domaine de Siegel
• Étude de certaines représentations induites d'un groupe de Lie résoluble exponentiel
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