Quantization and projective representations of solvable Lie groups
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- by Henri Moscovici and Andrei Verona
- Trans. Amer. Math. Soc. 246 (1978), 173-192
- DOI: https://doi.org/10.1090/S0002-9947-1978-0515535-3
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Abstract:
Kostant’s quantization procedure is applied for constructing irreducible projective representations of a solvable Lie group from symplectic homogeneous spaces on which the group acts. When specialized to a certain class of such groups, including the exponential ones, the technique exposed in the present paper provides a complete parametrization of all irreducible projective representations.References
- L. Auslander and B. Kostant, Polarization and unitary representations of solvable Lie groups, Invent. Math. 14 (1971), 255–354. MR 293012, DOI 10.1007/BF01389744
- Bon Yao Chu, Symplectic homogeneous spaces, Trans. Amer. Math. Soc. 197 (1974), 145–159. MR 342642, DOI 10.1090/S0002-9947-1974-0342642-7
- Bertram Kostant, Quantization and unitary representations. I. Prequantization, Lectures in Modern Analysis and Applications, III, Lecture Notes in Mathematics, Vol. 170, Springer, Berlin, 1970, pp. 87–208. MR 0294568
- Deane Montgomery and Leo Zippin, Topological transformation groups, Interscience Publishers, New York-London, 1955. MR 0073104
Bibliographic Information
- © Copyright 1978 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 246 (1978), 173-192
- MSC: Primary 22E27
- DOI: https://doi.org/10.1090/S0002-9947-1978-0515535-3
- MathSciNet review: 515535