Some remarks on induced representations of infinite discrete groups

DOI10.1007/BF01443507zbMath0648.20023OpenAlexW1974101043MaRDI QIDQ1105029

Nobuaki Obata

Publication date: 1989

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164542

zbMATH Keywords

free productsirreducible representationsfree groupsirreducibilityinfinite symmetric groupBurnside's theoremequivalence of unitary representationsinfinite discrete group

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Induced representations for locally compact groups (22D30) Representations of infinite symmetric groups (20C32)

Related Items (6)

Integral expression of some indecomposable characters of the infinite symmetric group in terms of irreducible representations ⋮ Constructing irreducible representations of discrete groups ⋮ Induced representations of infinite-dimensional groups. I. ⋮ Unitary representations of infinite wreath products ⋮ On Induced Representations of Discrete Groups ⋮ Irreducible induced representations of ICC-groups

Cites Work

• New large groups of type I
• Construction of irreducible unitary representations of the infinite symmetric group \({\mathfrak S}_ \infty\)
• Point spectrum on a quasi homogeneous tree
• Représentations unitaires monomiales d'un groupe discret en particulier du groupe modulaire
• Induced Representations of Discrete Groups
• Irreducible representations of infinite-dimensional transformation groups and Lie algebras
• Certain Unitary Representations of the Infinite Symmetric Group, I
• Certain unitary representations of the infinite symmetric group, II
• The Structure of Certain Unitary Representations of Infinite Symmetric Groups
• On Induced Representations of Groups
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