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Representations of a semi-direct product by quantization

Published online by Cambridge University Press:  24 October 2008

J. H. Rawnsley
J. H. Rawnsley
Affiliation:
Istituto Nazionale di Fisica Nucleare (Naples Section)
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Extract

1.Introduction. The purpose of this note is to apply the Kostant-Souriau quantization theory (2, 3, 4, 5, 7) to construct representations of a semi-direct product.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 78 , Issue 2 , September 1975 , pp. 345 - 350
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

REFERENCES

(1)Arens, R.Classical Lorentz invariant particles. J. Math. Phys. 12 (1971), 2415–2422.CrossRefGoogle Scholar
(2)Kostant, B.Quantization and unitary representations. Lectures in Modern Analysis and Applications: III. Springer Lecture Notes 170 (1970).CrossRefGoogle Scholar
(3)Kostant, B. On certain unitary representations which arise from a quantization theory. Battelle Seattle Rencontres 1969, ed. Bargmann, V.. Springer Lecture Notes in Physics 6 (1970).Google Scholar
(4)Kostant, B. Orbits and quantization theory. Proceedings of the International Congress of Mathematicians, Nice, 1970 (Gauthier-Villars, 1971).Google Scholar
(5)Renouard, P.Variétés symplectiques et quantification. (Thèse, Orsay, 1969.)Google Scholar
(6)Simms, D. J.Lie groups and quantum mechanics. Springer Lecture Notes 52 (1968).CrossRefGoogle Scholar
(7)Souriau, J.-M.Structure des systèmes dynamiques (Dunod, 1970).Google Scholar
(8)Sternberg, S. Symplectic homogeneous spaces. Colloque Symplectique, Aix-en-Provence, 1974 (to be published by C.N.R.S.).Google Scholar