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Bayen, F.; Flato, Moshé; Frønsdal, Christian; Lichnerowicz, A.; Sternheimer, D.

Deformation theory and quantization. I: Deformations of symplectic structures. (English) Zbl 0377.53024

Ann. Phys. 111, 61-110 (1978).
Reviewer: A. Crumeyrolle
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Cited in 43 Reviews
Cited in 434 Documents

MSC:

53D55 Deformation quantization, star products
53D05 Symplectic manifolds (general theory)
81S10 Geometry and quantization, symplectic methods

Keywords:

deformation quantization

Citations:

Zbl 0377.53025
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\textit{F. Bayen} et al., Ann. Phys. 111, 61--110 (1978; Zbl 0377.53024)
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References:

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[6] Flato, M.; Lichnerowicz, A.; Sternheimer, D., C. R. acad. sci. Paris ser. A, 279, 877, (1974)
[7] Flato, M.; Lichnerowicz, A.; Sternheimer, D., Compositio math., 31, 47, (1975)
[8] Flato, M.; Lichnerowicz, A.; Sternheimer, D., J. math. phys., 17, 1754, (1976)
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[11] Flato, M.; Lichnerowicz, A.; Sternheimer, D., C. R. acad. sci. Paris ser. A, 283, 19, (1976)
[12] Bayen, F.; Flato, M.; Fronsdal, C.; Lichnerowicz, A.; Sternheimer, D., Deformation theory and quantization. II. physical applications, Ann. phys. (N.Y.), 111, 111, (1978) · Zbl 0377.53025
[13] Nijenhuis, A., Indag. math., 17, 390, (1955)
[14] {\scA. Lichnerowicz}, Les Variétés de Poisson et leurs Algèbres de Lie associées, J. Differential Geometry, to appear. · Zbl 0405.53024
[15] Avez, A.; Lichnerowicz, A.; Avez, A.; Lichnerowicz, A.; Diaz-Miranda, A., C. R. acad. sci. Paris ser. A, J. differential geometry, 9, 1, (1974)
[16] Bayen, F.; Flato, M.; Fronsdal, C.; Lichnerowicz, A.; Sternheimer, D., Lett. math. phys., 1, 521, (1977)
[17] Dirac, P.A.M., ()
[18] Lichnerowicz, A., C. R. acad. sci. Paris ser. A, 280, 523, (1976)
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[20] Souriau, J.M., Structures des systèmes dynamiques, (1970), Dunod Paris, This map was introduced by · Zbl 0186.58001
[21] Dixmier, J., Algèbres enveloppantes, (1974), Gauthier-Villars Paris, For information about enveloping algebras, see · Zbl 0308.17007
[22] Abellanas, L.; Martinez-Alonso, L.; Vergne, M., J. math. phys., Bull. soc. math. France, 100, 301, (1972), See also
[23] Bourbaki, N., Algèbre, (1970), Hermann Paris, Chap. II, Sect. 1, No. 13, 3rd ed., 1962 or new edition · Zbl 0211.02401
[24] Dynkin, E.B.; Dynkin, E.B.; Jacobson, N.; Hochschild, G., The structure of Lie groups, Amer. math. soc. transl., Uspehi mat. nauk (N.S.), 5, 35, 135, (1966), Interscience New York, See also
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