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Unitary representations of the unitary group

Published online by Cambridge University Press:  24 October 2008

D. B. Hunter
D. B. Hunter
Affiliation:
University of Bradford
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Extract

It is well known that every representation of the group Un of unitary matrices of order n × n is equivalent to a unitary representation (see e.g. Little-wood (6), ch. XI). Our object in the present paper is to discuss some properties of those representations, and to construct a specific unitary representation.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 2 , March 1969 , pp. 377 - 386
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Boerner, H.Representations of groups (Amsterdam, 1963).Google Scholar
(2)Hunter, D. B. Schur's invariant matrices, Ph.D. thesis, Edinburgh, 1957.Google Scholar
(3)Hunter, D. B.The reduction of a direct product of compound matrices. Quart. J. Math. Oxford Ser. 2, 18 (1967), 199–206.Google Scholar
(4)Hunter, D. B.On a result in Young's quantitative substitutional analysis. Proc. Edinburgh Math. Soc. (2), 15 (1967), 257–262.CrossRefGoogle Scholar
(5)Hunter, D. B.The reduction of a direct product of induced matrices. Quart. J. Math. Oxford Ser. 2, 19 (1968), 81–87.CrossRefGoogle Scholar
(6)Littlewood, D. E.The theory of group characters, 2nd edition (Oxford, 1950).Google Scholar
(7)Rutherford, D. E.Substitutional analysis (Edinburgh, 1948).Google Scholar
(8)Turnbull, H. W. and Aitken, A. C.Theory of canonical matrices (London, 1932).Google Scholar
(9)Young, A.On quantitative substitutional analysis (sixth paper). Proc. London Math. Soc. (2), 34 (1931), 196–230.Google Scholar