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Volumn 154, Issue 1, 2000, Pages 46-75

Double Lie algebroids and second-order geometry, II

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EID: 0034259337     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1999.1892     Document Type: Article
Times cited : (61)

References (26)
  • 1
    • 38249009099 scopus 로고
    • Determination of a double Lie groupoid by its core diagram
    • R. Brown and K. C. H. Mackenzie, Determination of a double Lie groupoid by its core diagram, J. Pure Appl. Algebra 80 (1992), 237-272.
    • (1992) J. Pure Appl. Algebra , vol.80 , pp. 237-272
    • Brown, R.1    Mackenzie, K.C.H.2
  • 3
    • 0001691305 scopus 로고
    • Tangent dirac structures
    • T. J. Courant, Tangent dirac structures, J. Phys. A 23 (1990), 5153-5160.
    • (1990) J. Phys. A , vol.23 , pp. 5153-5160
    • Courant, T.J.1
  • 4
    • 0001757472 scopus 로고
    • On Poisson homogeneous spaces of Poisson-Lie groups
    • V. G. Drinfel'd, On Poisson homogeneous spaces of Poisson-Lie groups, Theoret. Math. Phys. 95 (1993), 226-227.
    • (1993) Theoret. Math. Phys. , vol.95 , pp. 226-227
    • Drinfel'd, V.G.1
  • 5
    • 0001576518 scopus 로고    scopus 로고
    • Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids
    • J. Grabowski and P. Urbański, Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids, Ann. Global Anal. Geom. 15 (1997), 447-486.
    • (1997) Ann. Global Anal. Geom. , vol.15 , pp. 447-486
    • Grabowski, J.1    Urbański, P.2
  • 6
    • 0000855801 scopus 로고
    • Algebraic constructions in the category of Lie algebroids
    • P. J. Higgins and K. C. H. Mackenzie, Algebraic constructions in the category of Lie algebroids, J. Algebra 129 (1990), 194-230.
    • (1990) J. Algebra , vol.129 , pp. 194-230
    • Higgins, P.J.1    Mackenzie, K.C.H.2
  • 8
    • 0000293067 scopus 로고    scopus 로고
    • Poisson homogeneous spaces and Lie algebroids associated to Poisson actions
    • Jiang-Hua Lu, Poisson homogeneous spaces and Lie algebroids associated to Poisson actions, Duke Math. J. 86 (1997), 261-304.
    • (1997) Duke Math. J. , vol.86 , pp. 261-304
    • Lu, J.-H.1
  • 9
    • 84972494622 scopus 로고
    • Poisson Lie groups, dressing transformations, and Bruhat decompositions
    • Jiang-Hua Lu and A. Weinstein, Poisson Lie groups, dressing transformations, and Bruhat decompositions, J. Differential Geom. 31 (1990), 501-526.
    • (1990) J. Differential Geom. , vol.31 , pp. 501-526
    • Lu, J.-H.1    Weinstein, A.2
  • 10
    • 0003276054 scopus 로고
    • Lie groupoids and Lie algebroids in differential geometry
    • Cambridge Univ. Press, Cambridge, UK
    • K. Mackenzie, "Lie groupoids and Lie algebroids in differential geometry," London Mathematical Society Lecture Note Series, Vol. 124, Cambridge Univ. Press, Cambridge, UK, 1987.
    • (1987) London Mathematical Society Lecture Note Series , vol.124
    • Mackenzie, K.1
  • 11
    • 0000636313 scopus 로고
    • Double Lie algebroids and second-order geometry, I
    • K. C. H. Mackenzie, Double Lie algebroids and second-order geometry, I, Adv. Math. 94 (1992), 180-239.
    • (1992) Adv. Math. , vol.94 , pp. 180-239
    • Mackenzie, K.C.H.1
  • 12
    • 84911867910 scopus 로고
    • Lie algebroids and Lie pseudoalgebras
    • K. C. H. Mackenzie, Lie algebroids and Lie pseudoalgebras, Bull. London Math. Soc. 27 (1995), 97-147.
    • (1995) Bull. London Math. Soc. , vol.27 , pp. 97-147
    • Mackenzie, K.C.H.1
  • 13
    • 85009827370 scopus 로고    scopus 로고
    • Drinfel'd doubles and Ehresmann doubles for Lie algebroids and Lie bialgebroids
    • K. C. H. Mackenzie, Drinfel'd doubles and Ehresmann doubles for Lie algebroids and Lie bialgebroids, Electron. Res. Announc. Amer. Math. Soc. 4 (1998), 74-87.
    • (1998) Electron. Res. Announc. Amer. Math. Soc. , vol.4 , pp. 74-87
    • Mackenzie, K.C.H.1
  • 14
    • 0033243236 scopus 로고    scopus 로고
    • On symplectic double groupoids and the duality of Poisson groupoids
    • K. C. H. Mackenzie, On symplectic double groupoids and the duality of Poisson groupoids, Internat. J. Math. 10 (1999), 435-456.
    • (1999) Internat. J. Math. , vol.10 , pp. 435-456
    • Mackenzie, K.C.H.1
  • 17
    • 0002106020 scopus 로고    scopus 로고
    • Affinoid structures and connections
    • Banach Center Publications, Banach Center, Warsaw
    • K. C. H. Mackenzie, Affinoid structures and connections, in "Poisson Geometry," Banach Center Publications, Vol. 51, pp. 175-186, Banach Center, Warsaw, 2000.
    • (2000) Poisson Geometry , vol.51 , pp. 175-186
    • Mackenzie, K.C.H.1
  • 18
    • 84973999707 scopus 로고
    • Lie bialgebroids and Poisson groupoids
    • K. C. H. Mackenzie and Ping Xu, Lie bialgebroids and Poisson groupoids, Duke Math. J. 73 (1994), 415-452.
    • (1994) Duke Math. J. , vol.73 , pp. 415-452
    • Mackenzie, K.C.H.1    Xu, P.2
  • 19
    • 0032376689 scopus 로고    scopus 로고
    • Classical lifting processes and multiplicative vector fields
    • K. C. H. Mackenzie and Ping Xu, Classical lifting processes and multiplicative vector fields, Quart. J. Math. Oxford Ser. (2) 49 (1998), 59-85.
    • (1998) Quart. J. Math. Oxford Ser. , vol.49 , Issue.2 , pp. 59-85
    • Mackenzie, K.C.H.1    Xu, P.2
  • 20
    • 84973999031 scopus 로고
    • Matched pairs of Lie groups associated to solutions of the Yang-Baxter equations
    • S. Majid, Matched pairs of Lie groups associated to solutions of the Yang-Baxter equations, Pacific J. Math. 141 (1990), 311-332.
    • (1990) Pacific J. Math. , vol.141 , pp. 311-332
    • Majid, S.1
  • 21
    • 0031492543 scopus 로고    scopus 로고
    • Matched pairs of Lie algebroids
    • T. Mokri, Matched pairs of Lie algebroids, Glasgow Math. J. 39 (1997), 167-181.
    • (1997) Glasgow Math. J. , vol.39 , pp. 167-181
    • Mokri, T.1
  • 23
    • 84972565091 scopus 로고
    • Coisotropic calculus and Poisson groupoids
    • A. Weinstein, Coisotropic calculus and Poisson groupoids, J. Math. Soc. Japan 40 (1988), 705-727.
    • (1988) J. Math. Soc. Japan , vol.40 , pp. 705-727
    • Weinstein, A.1
  • 24
    • 0000641209 scopus 로고
    • Affine Poisson structures
    • A. Weinstein, Affine Poisson structures, Internat. J. Math. 1 (1990), 343-360.
    • (1990) Internat. J. Math. , vol.1 , pp. 343-360
    • Weinstein, A.1
  • 25
    • 0000714030 scopus 로고    scopus 로고
    • Lagrangian mechanics and groupoids
    • A. Weinstein, Lagrangian mechanics and groupoids, Fields Inst. Comm. 7 (1996), 207-231.
    • (1996) Fields Inst. Comm. , vol.7 , pp. 207-231
    • Weinstein, A.1
  • 26


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.