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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 45 Reviews
Cited in 528 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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Full Text: DOI

References:

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[6] Flato, M.; Lichnerowicz, A.; Sternheimer, D., C. R. Acad. Sci. Paris Ser. A, 279, 877 (1974) · Zbl 0289.53031
[7] Flato, M.; Lichnerowicz, A.; Sternheimer, D., Compositio Math., 31, 47 (1975) · Zbl 0317.53039
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[11] Flato, M.; Lichnerowicz, A.; Sternheimer, D., C. R. Acad. Sci. Paris Ser. A, 283, 19 (1976) · Zbl 0346.53026
[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] A. LichnerowiczJ. Differential Geometry; A. LichnerowiczJ. Differential Geometry · Zbl 0405.53024
[15] Avez, A.; Lichnerowicz, A.; Diaz-Miranda, 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., (Lectures on Quantum Mechanics. Lectures on Quantum Mechanics, Belfer Graduate School of Sciences Monograph Series No. 2 (1964), Yeshiva Univ: Yeshiva Univ New York) · Zbl 0141.44603
[18] Lichnerowicz, A., C. R. Acad. Sci. Paris Ser. A, 280, 523 (1976)
[19] Lichnerowicz, A., Lett. Math. Phys., 2, 2 (1977)
[20] Souriau, J. M., Structures des Systèmes Dynamiques (1970), Dunod: Dunod Paris, This map was introduced by · Zbl 0186.58001
[21] Dixmier, J., Algèbres Enveloppantes (1974), Gauthier-Villars: Gauthier-Villars Paris, For information about enveloping algebras, see · Zbl 0308.17007
[22] Vergne, M., Bull. Soc. Math. France, 100, 301 (1972) · Zbl 0256.17002
[23] Bourbaki, N., Algèbre (1970), Hermann: Hermann Paris, Chap. II, Sect. 1, No. 13, 3rd ed., 1962 or new edition · Zbl 0211.02401
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