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The unitary representation theory of GL(n) of an infinite discrete field

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Publication:919463
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DOI10.1007/BF02764900zbMath0707.22002OpenAlexW2103256128MaRDI QIDQ919463

Roger E. Howe, Jonathan M. Rosenberg

Publication date: 1989

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02764900

zbMATH Keywords

general linear groupsunitary representationsinfinite fieldcentral characterprincipal-series representations


Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10)


Related Items

Représentations d'un groupe faiblement équivalentes à la représentation régulière, Discrete groups and simple C*-algebras, Some groups whose reduced \(C^*\)-algebra is simple, Infinite characters on \(\textit{GL}_{n}(\mathbf{Q})\), on \(SL_{n}(Z)\), and on groups acting on trees



Cites Work

  • On representations of discrete, finitely generated, torsion-free, nilpotent groups
  • Connection of the dual space of a group with the structure of its closed subgroups
  • Eine Charakterisierung diskreter Gruppen vom Typ I
  • Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
  • The Dual Spaces of C ∗ -Algebras
  • On Induced Representations of Groups
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