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Volumn 180, Issue 1, 1996, Pages 99-108

On tangential star products for the coadjoint poisson structure

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EID: 0030493240     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02101183     Document Type: Article
Times cited : (27)

References (14)
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    • Cahen, M., Gutt, S., Rawnsley, J.: Non-linearisability of the Iwasawa Poisson Lie structure. Lett. Math. Phys. 24, 79-83 (1992)
    • (1992) Lett. Math. Phys. , vol.24 , pp. 79-83
    • Cahen, M.1    Gutt, S.2    Rawnsley, J.3
  • 4
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    • Normal forms for smooth Poisson structures
    • Conn, J.F.: Normal forms for smooth Poisson structures. Ann. Math. 121, 565-593 (1985)
    • (1985) Ann. Math. , vol.121 , pp. 565-593
    • Conn, J.F.1
  • 5
    • 0000898844 scopus 로고
    • Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
    • De Wilde, M., Lecomte, P.B.: Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds. Lett. Math. Phys. 7, 487-496 (1983)
    • (1983) Lett. Math. Phys. , vol.7 , pp. 487-496
    • De Wilde, M.1    Lecomte, P.B.2
  • 6
    • 84972506966 scopus 로고
    • A simple geometrical construction of deformation quantization
    • Fedosov, B.V.: A simple geometrical construction of deformation quantization. J. Diff. Geom. 40, 213-238 (1994)
    • (1994) J. Diff. Geom. , vol.40 , pp. 213-238
    • Fedosov, B.V.1
  • 7
    • 84968491609 scopus 로고
    • On the nonlinear convexity theorem of Kostant
    • Lu, J.H., Ratiu, T.: On the nonlinear convexity theorem of Kostant. J. Am. Math. Soc. 4, 349-363 (1991)
    • (1991) J. Am. Math. Soc. , vol.4 , pp. 349-363
    • Lu, J.H.1    Ratiu, T.2
  • 8
    • 84972494622 scopus 로고
    • Poisson-Lie groups, dressing transformations and Bruhat decompositions
    • Lu, J.H., Weinstein, A.: Poisson-Lie groups, dressing transformations and Bruhat decompositions. J. Diff. Geom. 31, 501-526 (1990)
    • (1990) J. Diff. Geom. , vol.31 , pp. 501-526
    • Lu, J.H.1    Weinstein, A.2
  • 9
    • 84968509387 scopus 로고
    • Lie-Poisson structure on some Poisson Lie groups
    • Ginzburg, V.L., Weinstein, A.: Lie-Poisson structure on some Poisson Lie groups. J. Am. Math. Soc. 5, 445-453 (1992)
    • (1992) J. Am. Math. Soc. , vol.5 , pp. 445-453
    • Ginzburg, V.L.1    Weinstein, A.2
  • 10
    • 38249011362 scopus 로고
    • Tangential formal deformations of the Poisson bracket and tangential star products on a regular Poisson manifold
    • Masmoudi, M.: Tangential formal deformations of the Poisson bracket and tangential star products on a regular Poisson manifold. J. Geom. Phys. 9, 155-171 (1992)
    • (1992) J. Geom. Phys. , vol.9 , pp. 155-171
    • Masmoudi, M.1
  • 11
    • 0001454198 scopus 로고
    • Weyl manifolds and deformation quantization
    • Omori, H., Maeda, Y., Yoshioka, A.: Weyl manifolds and deformation quantization. Adv. Math. 85, 224-255 (1991)
    • (1991) Adv. Math. , vol.85 , pp. 224-255
    • Omori, H.1    Maeda, Y.2    Yoshioka, A.3
  • 12
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    • Deformation quantization of Poisson algebras
    • Omori, H., Maeda, Y., Yoshioka, A.: Deformation quantization of Poisson algebras. Contemp. Math. 179, 213-240 (1994)
    • (1994) Contemp. Math. , vol.179 , pp. 213-240
    • Omori, H.1    Maeda, Y.2    Yoshioka, A.3
  • 13
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    • Déformation du crochet de poisson sur une variété symplectique
    • Vey, J.: Déformation du crochet de Poisson sur une variété symplectique. Comment. Math. Helvet. 50, 421-454 (1975)
    • (1975) Comment. Math. Helvet. , vol.50 , pp. 421-454
    • Vey, J.1
  • 14
    • 84972531238 scopus 로고
    • The local structure of Poisson manifolds
    • Weinstein, A.: The local structure of Poisson manifolds. J. Diff. Geom. 18, 523-557 (1983)
    • (1983) J. Diff. Geom. , vol.18 , pp. 523-557
    • Weinstein, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.