Irreducible unitary representations of \(\mathrm{SU}(2,2)\)

DOI10.1016/0022-1236(82)90004-0zbMath0543.22011OpenAlexW2011696713MaRDI QIDQ795939

A. W. Knapp, Birgit Speh

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90004-0

zbMATH Keywords

classificationirreducible unitary representationsLanglands parametersSU(2,2)

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items

Ambitwistors, oscillators and massless fields on \(\mathrm {AdS}_5\), Group representations arising from Lorentz conformal geometry, Elementary representations and intertwining operators for SU(2, 2). I, The complete unitary dual of non-compact Lie superalgebra \(\mathfrak{su}(p,q|m)\) via the generalised oscillator formalism, and non-compact Young diagrams, The unitary irreducible representations of SU(2,1), Harmonic analysis on spannors, Quaternionic analysis, representation theory and physics, IRREDUCIBLE UNITARY REPRESENTATIONS OF SU_p,q I: THE DISCRETE SERIES, Symmetry analysis of wave equation on static spherically symmetric spacetimes with higher symmetries, Quasi-conformal actions, quaternionic discrete series and twistors: \(\text{SU}(2, 1)\) and \(\text{G} _{2(2)}\), The six-point families of exceptional representations of the conformal group, Principal series of Hermitian Lie groups induced from Heisenberg parabolic subgroups, Quantum field theory on quantized Bergman domain, Minimal unitary representation of SU(2,2) and its deformations as massless conformal fields and their supersymmetric extensions, Some comments on the work of I. E. Segal on group representations

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