Where can I find details about the irreducible unitary representations of SO(1,4) and SO(2,3)?
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$\begingroup$ This is a special case of MO question on unitary irreps of O(p,q) $\endgroup$– Jeffrey AdamsJun 16, 2016 at 1:35
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2 Answers
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There is Volume 2, Chapter 9 of the monumental (4-volume!) work of N. Ya. Vilenkin and A. U. Klimyk, Representations of Lie Groups and Special Functions (Kluwer, 1993).
answered Jun 15, 2016 at 16:18
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The unitary dual of SO(1,4) was computed by Dixmier (1961); that of SO(2,3), or the locally isomorphic Sp(2,R), by Angelopoulos (1981) and Nzoukoudi (1983).
answered Jun 15, 2016 at 16:15
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$\begingroup$ Hmm, all these are in French. Is there also a description in English? $\endgroup$ Jun 15, 2016 at 17:42