Determination of the Harish-Chandra \(C\)-function for \(SU(n, 1)\) and its application to the construction of the composition series

DOI10.3792/pjaa.72.129zbMath0873.22006OpenAlexW1984244730MaRDI QIDQ1817244

Masaaki Eguchi, Shin Koizumi

Publication date: 23 February 1997

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.72.129

zbMATH Keywords

Lie algebraunitary representationsintertwining operatorsclassical groupsreductive Lie groupcomposition seriesHarish-Chandra \(C\)-function

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

• Intertwining operators for real reductive groups
• Functional analysis on SU(1,1)
• Composition Series and Intertwining Operators for the Spherical Principal Series. I
• On Representations of the Group SU(n, 1)
• Composition series and intertwining operators for the spherical principal series
• On the Quasi-Simple Irreducible Representations of the Lorentz Groups
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