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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Representing triples of a symplectic manifold
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by Guido Karrer
Proc. Amer. Math. Soc. 86 (1982), 370-374
DOI: https://doi.org/10.1090/S0002-9939-1982-0671196-0

Abstract:

For a symplectic manifold $M$ and its associated real Lie algebra $P(M,\omega )$ (its Poisson algebra) a definition of first-order representations and a structure theorem for the representation ring is given.
References
  • Werner Greub and Herbert-Rainer Petry, Minimal coupling and complex line bundles, J. Mathematical Phys. 16 (1975), 1347–1351. MR 398363, DOI 10.1063/1.522684
  • G. Karrer, Geometrische Quantisierung, ein Seminarbericht, Mimeographed notes, Math. Inst., Univ. of Zurich, 1979.
  • 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
  • Raghavan Narasimhan, Analysis on real and complex manifolds, Advanced Studies in Pure Mathematics, Vol. 1, Masson & Cie, Éditeurs, Paris; North-Holland Publishing Co., Amsterdam, 1968. MR 0251745
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Bibliographic Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 86 (1982), 370-374
  • MSC: Primary 58F06
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0671196-0
  • MathSciNet review: 671196