Hyper-Lie Poisson structures

Annales Scientifiques de l'Ecole Normale Superieure

Volumn 30, Issue 3, 1997, Pages 279-302

  Xu, Ping ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031536976     PISSN: 00129593     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-9593(97)89921-1     Document Type: Article

References (15)

1. [1] M. F. ATIYAH, Hyper-Kähler manifolds (Collection: Complex Geometry and Analysis, Springer-Verlag Lecture Notes in Mathematics, Vol. 1422, 1990, pp. 1-13).
2. [2] M. F. ATIYAH and N. J. HITCHIN, The geometry and dynamics of magnetic monopoles, Princeton University Press, 1988.
3. [3] O. BIQUARD, Sur les équations de Nahm et la structure de Poisson des algèbres de Lie semi-simples complexes (Math. Ann. Vol. 304, 1996, pp. 253-276).
4. [4] O. BIQUARD and P. GAUDUCHON, Hyperkähler metrics on cotangent bundles of hermitian symmetric spaces, preprint.
5. [5] S. K. DONALDSON, Nahm's equations and the classification of monopoles (Commun. Math. Phys. Vol. 96, 1984, pp. 387-407).
6. e année, No. 748, Astérisque, Vol. 206, 1992, pp. 137-166).
7. [7] N. J. HITCHIN, A. KARLHEDE, U. LINSTROM and M. ROCEK, Hyperkähler metrics and supersymmetry, Commun. Math. Phys. Vol. 108, 1987, pp. 535-589.
8. [8] Y. KOSMANN-SCHWARZBACH and F. MAGRI, Poisson-Nijenhuis structures (Ann. Inst. H. Poincaré Phys. Théor. Vol. 53, 1990, pp. 35-81).
9. [9] A. G. KOVALEV, Nahm's equations and complex adjoint orbits (Quart. J. Math. Oxford Ser. (2) Vol. 47, 1996, pp. 41-58).
10. [10] P. B. KRONHEIMER, A hyper-Kählerian structure on coadjoint orbits of a semisimple complex group (J. of LMS, Vol. 42, 1990, pp. 193-208).
11. [11] P. B. KRONHEIMER, Instantons and the geometry of the nilpotent variety (J. Diff. Geom. Vol. 32, 1990, pp. 473-490).
12. [12] J. MARSDEN and A. WEINSTEIN, Reduction of symplectic manifolds with symmetry (Rep. Math. Phys. Vol. 5, 1974, pp. 121-129).
13. [13] R. PENROSE, Nonlinear gravitons and curved twistor theory, Gen. Ralativ. Grav. Vol. 7, 1976, pp. 31-52.
14. [14] M. VERGNE, Instantons et correspondance de Kostant-Sekiguchi, (C. R. Acad, Sci. Paris., t. 320, Série I, 1995, pp. 901-906).
15. [15] A. WEINSTEIN, The local structure of Poisson manifolds, (J. Diff. Geom. Vol. 18, 1983, pp. 523-557).