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Volumn 10, Issue 1, 2000, Pages 181-194

Nambu-Lie Groups

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EID: 0005140847     PISSN: 09495932     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (21)

References (17)
  • 2
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    • Aspects of Classical and Quantum Mechanics
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  • 3
    • 0013198991 scopus 로고
    • Groupes de Poisson Affines
    • "Symplectic Geometry, Groupoids and Integrable Systems," Séminaire Sud-Rhodanien de Géométrie à Berkeley (P. Dazord and A. Weinstein, eds.) Springer, Berlin-New York
    • Dazord, P., and D. Sondaz, Groupes de Poisson Affines, In: "Symplectic Geometry, Groupoids and Integrable Systems," Séminaire Sud-Rhodanien de Géométrie à Berkeley (1989) (P. Dazord and A. Weinstein, eds.) MSRI Publ. 20, Springer, Berlin-New York, 1991, 99-128.
    • (1989) MSRI Publ. , vol.20 , pp. 99-128
    • Dazord, P.1    Sondaz, D.2
  • 6
    • 0001638425 scopus 로고    scopus 로고
    • Some remarks concerning Nambu mechanics
    • Gautheron, Ph., Some remarks concerning Nambu mechanics, Lett. in Math. Phys. 37 (1996), 103-116.
    • (1996) Lett. in Math. Phys. , vol.37 , pp. 103-116
    • Gautheron, Ph.1
  • 7
    • 0033632733 scopus 로고    scopus 로고
    • On Filippov algebroids and multiplicative Nambu-Poisson structures
    • to appear, and preprint math@xxx.lanl.gov, DG/9902127
    • Grabowski, J. and G. Marmo, On Filippov algebroids and multiplicative Nambu-Poisson structures, Diff. Geom. Appl., to appear, and preprint math@xxx.lanl.gov, DG/9902127.
    • Diff. Geom. Appl.
    • Grabowski, J.1    Marmo, G.2
  • 11
    • 84972494622 scopus 로고
    • Poisson-Lie groups, dressing transformations and Bruhat decompositions
    • Lu, J.-H., and A. Weinstein, Poisson-Lie groups, dressing transformations and Bruhat decompositions, J. Diff. Geometry 31 (1990), 501-526.
    • (1990) J. Diff. Geometry , vol.31 , pp. 501-526
    • Lu, J.-H.1    Weinstein, A.2
  • 12
    • 0032041927 scopus 로고    scopus 로고
    • The local structure of n-Poisson and n-Jacobi manifolds
    • Marmo, G., G. Vilasi, and A. M. Vinogradov, The local structure of n-Poisson and n-Jacobi manifolds, J. Geom. Physics 25 (1998), 141-182.
    • (1998) J. Geom. Physics , vol.25 , pp. 141-182
    • Marmo, G.1    Vilasi, G.2    Vinogradov, A.M.3
  • 15
    • 35949035760 scopus 로고
    • Generalized Hamiltonian Mechanics
    • Nambu, Y., Generalized Hamiltonian Mechanics, Phys. Rev. D 7 (1973), 2405-2412.
    • (1973) Phys. Rev. D , vol.7 , pp. 2405-2412
    • Nambu, Y.1
  • 16
    • 21344477372 scopus 로고
    • On Foundations of Generalized Nambu Mechanics
    • Takhtajan, L., On Foundations of Generalized Nambu Mechanics, Comm. Math. Phys. 160 (1994), 295-315.
    • (1994) Comm. Math. Phys. , vol.160 , pp. 295-315
    • Takhtajan, L.1
  • 17
    • 0003246009 scopus 로고
    • Lectures on the Geometry of Poisson Manifolds
    • Birkhäuser, Basel
    • Vaisman, I., "Lectures on the Geometry of Poisson Manifolds," Progress in Math. 118, Birkhäuser, Basel, 1994.
    • (1994) Progress in Math. , vol.118
    • Vaisman, I.1


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