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Volumn 45, Issue 2, 1997, Pages 241-256

On poisson actions of compact lie groups on symplectic manifolds

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EID: 0031063205     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214459796     Document Type: Article
Times cited : (45)

References (13)
  • 1
    • 84874962985 scopus 로고
    • Convexity and commuting Hamiltonians
    • M.F. Atiyah, Convexity and commuting Hamiltonians, Bull. London Math. Soc. 14 (1982) 1.
    • (1982) Bull. London Math. Soc , vol.14 , pp. 1
    • Atiyah, M.F.1
  • 2
    • 85033074016 scopus 로고    scopus 로고
    • A new proof of the convexity theorem for the Poisson-Lie moment map
    • Aahrus, 1995, (eds. J. Andersen et al.), Lecture Notes Pure Appl. Math
    • A. Yu. Alekseev, A new proof of the convexity theorem for the Poisson-Lie moment map, Proc. Conf. on Geometry and Physics, Aahrus, 1995, (eds. J. Andersen et al.), Lecture Notes Pure Appl. Math. 184 (1997) 231.
    • (1997) Proc. Conf. on Geometry and Physics , vol.184 , pp. 231
    • Alekseev, A.Y.1
  • 3
    • 33744749425 scopus 로고
    • Symplectic structures associated to Lie-Poisson groups
    • A. Yu. Alekseev &A. Z. Malkin, Symplectic structures associated to Lie-Poisson groups, Comm. Math. Phys. 162 (1994)147.
    • (1994) Comm. Math. Phys , vol.162 , pp. 147
    • Alekseev, A.Y.1    Malkin, A.Z.2
  • 6
    • 0000567544 scopus 로고
    • Convexity properties of the moment map
    • V. Guillemin &S. Sternberg, Convexity properties of the moment map, Invent. Math. 67 (1982) 491.
    • (1982) Invent. Math , vol.67 , pp. 491
    • Guillemin, V.1    Sternberg, S.2
  • 7
    • 84968509387 scopus 로고
    • Lie Poisson structure on some Poisson Lie groups
    • V. L. Ginzburg &A. Weinstein, Lie Poisson structure on some Poisson Lie groups, J. Amer. Math. Soc. 5 (1992) 445.
    • (1992) J. Amer. Math. Soc , vol.5 , pp. 445
    • Ginzburg, V.L.1    Weinstein, A.2
  • 8
    • 0000368974 scopus 로고
    • On convexity, the Weyl group and Iwasawa decomposition
    • B. Kostant, On convexity, the Weyl group and Iwasawa decomposition, Ann. Sci. École Norm. Sup. (4) 6 (1973) 413.
    • (1973) Ann. Sci. École Norm. Sup. (4) , vol.6 , pp. 413
    • Kostant, B.1
  • 9
    • 0001314858 scopus 로고
    • Algebras of functions on compact quantum groups, Schubert cells and quantum tori
    • S. Levendorskii &Y. Soibelman, Algebras of functions on compact quantum groups, Schubert cells and quantum tori, Comm. Math. Phys. 139 (1991) 141.
    • (1991) Comm. Math. Phys , vol.139 , pp. 141
    • Levendorskii, S.1    Soibelman, Y.2
  • 10
    • 0000738104 scopus 로고
    • Proc. Sem. Sud-Rodanian de Geometrie â Berkeley, Springer, Berlin, Math. Sci. Res. Inst. Series, 1991
    • J.-H. Lu, Moment mappings and reduction of Poisson actions, Proc. Sem. Sud-Rodanian de Geometrie â Berkeley, (1989) Springer, Berlin, Math. Sci. Res. Inst. Series, 1991.
    • (1989) Moment Mappings and Reduction of Poisson Actions
    • Lu, J.-H.1
  • 11
    • 84968491609 scopus 로고
    • On the nonlinear convexity theorem of Kostant
    • J.-H. Lu &T. Ratiu, On the nonlinear convexity theorem of Kostant, J. Amer. Math. Soc. 4 (1991) 349.
    • (1991) J. Amer. Math. Soc , vol.4 , pp. 349
    • Lu, J.-H.1    Ratiu, T.2
  • 12
    • 84972494622 scopus 로고
    • Poisson Lie groups, dressing transformations and Bruhat decompositions
    • J.-H. Lu &A. Weinstein, Poisson Lie groups, dressing transformations and Bruhat decompositions, J. Differential Geom. 31 (1990) 510.
    • (1990) J. Differential Geom , vol.31 , pp. 510
    • Lu, J.-H.1    Weinstein, A.2
  • 13
    • 85024263510 scopus 로고
    • Dressing transformations and Poisson Lie group actions
    • Kyoto Univ
    • M. A. Semenov-Tian-Shansky, Dressing transformations and Poisson Lie group actions, Publ. Res. Inst. Math. Sci. Kyoto Univ. 21 (1985) 1237
    • (1985) Publ. Res. Inst. Math. Sci , vol.21 , pp. 1237
    • Semenov-Tian-Shansky, M.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.