Construction of irreducible unitary representations of amalgams of discrete Abelian groups

DOI10.2969/JMSJ/04240585zbMath0722.22003OpenAlexW1966759356MaRDI QIDQ755911

Nobuaki Obata

Publication date: 1990

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

Full work available at URL: https://doi.org/10.2969/jmsj/04240585

zbMATH Keywords

Haar measureregular representationinduced representationsdirect sumdiscrete abelian groupsdirect integral decompositionsamalgamated productmaximal-abelian subgroupsunitary characters

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Induced representations for locally compact groups (22D30)

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Integral expression of some indecomposable characters of the infinite symmetric group in terms of irreducible representations

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