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Irreducible representations of infinite-dimensional transformation groups and Lie algebras
Author(s):
Paul R.
Chernoff
Journal:
Bull. Amer. Math. Soc.
13
(1985),
46-48.
MSC (1980):
Primary 22A25, 22E65, 58F06;
Secondary 81C40
MathSciNet review:
788389
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Additional information
References:
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- A. Avez, Symplectic group, quantum mechanics and Anosov's systems, Dynamical Systems and Microphysics, (A. Blaquiere et al., eds.), Springer-Verlag, 1980, pp. 301-324. MR 660308
- 2.
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- 3.
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- 4.
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- 5.
- B. Kostant, Quantization and unitary representations, Lectures in Modern Analysis and Applications. III, (C. T. Tamm, ed.), Lecture Notes in Math., vol. 170, Springer-Verlag, 1979, pp. 87-208. MR 294568
- 6.
- I. E. Segal, Quantization of non-linear systems, J. Math. Phys. 1 (1960), 468-488. MR 135093
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- 8.
- R. W. Urwin, The prequantization representations of the Poisson Lie algebra, Adv. in Math. 50 (1983), 126-154. MR 723198
- 9.
- L. van Hove, Sur certaines représentations unitaires d'un groupe infini de transformations, Acad. Roy. Belg. Cl. Sci. Mém. Collect. 8° (2) 29 (1951), 1-102. MR 57260
- 10.
- A. M. Vershik, I. M. Gel'fand, and M. I. Graev, Representations of the group of diffeomorphisms, Uspekhi Mat. Nauk 30 (1975), 1-50 = Russian Math. Surveys 30 (1975), 3-50.
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Additional Information:
DOI:
10.1090/S0273-0979-1985-15359-5
PII:
S 0273-0979(1985)15359-5
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