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Proceedings of the American Mathematical Society

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Representing triples of a symplectic manifold

Author: Guido Karrer
Journal: Proc. Amer. Math. Soc. 86 (1982), 370-374
MSC: Primary 58F06
MathSciNet review: 671196
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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 [Enhancements On Off] (What's this?)

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  • [2] G. Karrer, Geometrische Quantisierung, ein Seminarbericht, Mimeographed notes, Math. Inst., Univ. of Zurich, 1979.
  • [3] B. Kostant, Quantization and unitary representation, Lecture Notes in Math., vol. 170, Springer-Verlag, Berlin, 1970, pp. 87-208. MR 0294568 (45:3638)
  • [4] R. Narasimhan, Analysis on real and complex manifolds, Masson, Paris; North-Holland, Amsterdam, 1968. MR 0251745 (40:4972)

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Article copyright: © Copyright 1982 American Mathematical Society

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