메뉴 건너뛰기




Volumn 51, Issue 3, 2000, Pages 161-177

A ring-theorist's description of Fedosov quantization

Author keywords

Connections; Deformation quantization; Derivations; K hler differentials; Projective module

Indexed keywords


EID: 0040520003     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007668718004     Document Type: Article
Times cited : (6)

References (16)
  • 1
    • 0003148774 scopus 로고
    • R-Commutative geometry and quantization of Poisson algebras
    • Baez, J. C.: R-Commutative geometry and quantization of Poisson algebras. Adv. in Math. 95 (1992), 61-91.
    • (1992) Adv. in Math. , vol.95 , pp. 61-91
    • Baez, J.C.1
  • 2
    • 0000734746 scopus 로고
    • Formal deformations of the Poisson algebra of a symplectic manifold and star-products. Existence, equivalence, derivations
    • M. Hazewinkel and M. Gerstenhaber (eds), NATO ASI Ser. C 247, Kluwer Acad. Publ., Dordrecht
    • De Wilde, M. and Lecomte, P. B. A.: Formal deformations of the Poisson algebra of a symplectic manifold and star-products. Existence, equivalence, derivations. In: M. Hazewinkel and M. Gerstenhaber (eds), Deformation Theory of Algebras and Structures and Applications NATO ASI Ser. C 247, Kluwer Acad. Publ., Dordrecht, 1988, pp. 897-960.
    • (1988) Deformation Theory of Algebras and Structures and Applications , pp. 897-960
    • De Wilde, M.1    Lecomte, P.B.A.2
  • 4
    • 0031569762 scopus 로고    scopus 로고
    • On the quantization of Poisson brackets
    • Donin, J.: On the quantization of Poisson brackets. Adv. in Math. 127 (1997), 73-93.
    • (1997) Adv. in Math. , vol.127 , pp. 73-93
    • Donin, J.1
  • 5
    • 21844482644 scopus 로고
    • Characterizations of Poisson algebras
    • Farkas, D. R.: Characterizations of Poisson algebras, Comm. Algebra 23(12) (1995), 4669-4686.
    • (1995) Comm. Algebra , vol.23 , Issue.12 , pp. 4669-4686
    • Farkas, D.R.1
  • 6
    • 0030584521 scopus 로고    scopus 로고
    • Connections, Poisson brackets, and affine algebras
    • Farkas, D. R.: Connections, Poisson brackets, and affine algebras, J. Algebra 180 (1996), 757-777.
    • (1996) J. Algebra , vol.180 , pp. 757-777
    • Farkas, D.R.1
  • 7
    • 0032013176 scopus 로고    scopus 로고
    • Ring theory from symplectic geometry
    • Farkas, D. R. and Letzter, G.: Ring theory from symplectic geometry, J. Pure Appl. Algebra 125 (1998), 155-190.
    • (1998) J. Pure Appl. Algebra , vol.125 , pp. 155-190
    • Farkas, D.R.1    Letzter, G.2
  • 8
    • 84972506966 scopus 로고
    • A simple geometrical construction of deformation quantization
    • Fedosov, B. V.: A simple geometrical construction of deformation quantization, J. Differential Geom. 40 (1994), 213-238.
    • (1994) J. Differential Geom. , vol.40 , pp. 213-238
    • Fedosov, B.V.1
  • 9
    • 84942964667 scopus 로고
    • Poisson cohomology and and quantization
    • Huebschmann, J.: Poisson cohomology and and quantization, J. Reine Angen: Math. 408 (1990), 57-113.
    • (1990) J. Reine Angen: Math. , vol.408 , pp. 57-113
    • Huebschmann, J.1
  • 10
  • 11
    • 21144461919 scopus 로고
    • Symplectic algebras and Poisson algebras
    • Loose, F.: Symplectic algebras and Poisson algebras, Comm. Algebra 21(7) (1993), 2395-2416.
    • (1993) Comm. Algebra , vol.21 , Issue.7 , pp. 2395-2416
    • Loose, F.1
  • 13
    • 0039056441 scopus 로고
    • Sur les algèbres de Weyl généralisées
    • Nouazé Y. and Revoy, P.: Sur les algèbres de Weyl généralisées. Bull. Sci. Math. (2) 96 (1972), 27-47.
    • (1972) Bull. Sci. Math. , vol.96 , Issue.2 , pp. 27-47
    • Nouazé, Y.1    Revoy, P.2
  • 14
    • 84968483649 scopus 로고
    • Differential forms for general commutative algebras
    • Rinehart, G.: Differential forms for general commutative algebras. Trans. Amer. Math. Soc. 108 (1963), 195-222.
    • (1963) Trans. Amer. Math. Soc. , vol.108 , pp. 195-222
    • Rinehart, G.1
  • 15
    • 0010287266 scopus 로고    scopus 로고
    • Deformation quantization: Twenty years after
    • J. Rembielin'ski (ed.), Particles, Fields and Gravitation, Amer. Inst. Phys., New York
    • Sternheimer, D.: Deformation quantization: twenty years after, In: J. Rembielin'ski (ed.), Particles, Fields and Gravitation, AIP Conf. Proc. 453, Amer. Inst. Phys., New York, 1998, pp. 107-145. (math.QA/9809056) Letters in Mathematical Physics 51: 179-191, 2000.
    • (1998) AIP Conf. Proc. , vol.453 , pp. 107-145
    • Sternheimer, D.1
  • 16
    • 0000670736 scopus 로고    scopus 로고
    • math.QA/9809056
    • Sternheimer, D.: Deformation quantization: twenty years after, In: J. Rembielin'ski (ed.), Particles, Fields and Gravitation, AIP Conf. Proc. 453, Amer. Inst. Phys., New York, 1998, pp. 107-145. (math.QA/9809056) Letters in Mathematical Physics 51: 179-191, 2000.
    • (2000) Letters in Mathematical Physics , vol.51 , pp. 179-191


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.