Irreducible unitary representations of \(\mathrm{SU}(2,2)\). (English) Zbl 0543.22011
The authors say, “We give an explicit classification of the irreducible unitary representations of the simple Lie group \(\mathrm{SU}(2,2)\).” This classification is given in terms of Langlands parameters and carried out by a former criterion of the authors [Lect. Notes Math. 908, 1–38 (1982; Zbl 0496.22018)]. They also refer to joint work of the first author with G. Zuckerman [Lect. Notes Math. 587, 138–159 (1977; Zbl 0353.22011), and Ann. Math. (2) 116, 389–455 (1982; Zbl 0516.22011)]. As usual with semisimple theory it is very large scale to state theorems. The proofs essentially go case by case. The authors give well organized sketches of the proofs and computations
Reviewer: Werner Kugler (Berlin)
MSC:
| 22E46 | Semisimple Lie groups and their representations |
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