Representing triples of a symplectic manifold
HTML articles powered by AMS MathViewer
- by Guido Karrer
- Proc. Amer. Math. Soc. 86 (1982), 370-374
- DOI: https://doi.org/10.1090/S0002-9939-1982-0671196-0
- PDF | Request permission
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
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