@article{ASENS_1997_4_30_3_279_0, author = {Xu, Ping}, title = {Hyper-Lie {Poisson} structures}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {279--302}, publisher = {Elsevier}, volume = {Ser. 4, 30}, number = {3}, year = {1997}, doi = {10.1016/s0012-9593(97)89921-1}, mrnumber = {98f:53044}, zbl = {0884.58052}, language = {en}, url = {http://www.numdam.org/articles/10.1016/s0012-9593(97)89921-1/} }
TY - JOUR AU - Xu, Ping TI - Hyper-Lie Poisson structures JO - Annales scientifiques de l'École Normale Supérieure PY - 1997 SP - 279 EP - 302 VL - 30 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/s0012-9593(97)89921-1/ DO - 10.1016/s0012-9593(97)89921-1 LA - en ID - ASENS_1997_4_30_3_279_0 ER -
Xu, Ping. Hyper-Lie Poisson structures. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 30 (1997) no. 3, pp. 279-302. doi : 10.1016/s0012-9593(97)89921-1. http://www.numdam.org/articles/10.1016/s0012-9593(97)89921-1/
[1] Hyper-Kähler manifolds (Collection : Complex Geometry and Analysis, Springer-Verlag Lecture Notes in Mathematics, Vol. 1422, 1990, pp. 1-13). | MR | Zbl
,[2] The geometry and dynamics of magnetic monopoles, Princeton University Press, 1988. | MR | Zbl
and ,[3] 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). | EuDML | MR | Zbl
,[4] Hyperkähler metrics on cotangent bundles of hermitian symmetric spaces, preprint. | Zbl
and ,[5] Nahm's equations and the classification of monopoles (Commun. Math. Phys. Vol. 96, 1984, pp. 387-407). | MR | Zbl
,[6] Hyperkähler manifolds (Séminaire Bourbaki 44e année, No. 748, Astérisque, Vol. 206, 1992, pp. 137-166). | EuDML | Numdam | MR | Zbl
,[7] Hyperkähler metrics and supersymmetry, Commun. Math. Phys. Vol. 108, 1987, pp. 535-589. | Zbl
, , and ,[8] Poisson-Nijenhuis structures (Ann. Inst. H. Poincaré Phys. Théor. Vol. 53, 1990, pp. 35-81). | EuDML | Numdam | MR | Zbl
and ,[9] Nahm's equations and complex adjoint orbits (Quart. J. Math. Oxford Ser. (2) Vol. 47, 1996, pp. 41-58). | MR | Zbl
,[10] A hyper-Kählerian structure on coadjoint orbits of a semisimple complex group (J. of LMS, Vol. 42, 1990, pp. 193-208). | MR | Zbl
,[11] Instantons and the geometry of the nilpotent variety (J. Diff. Geom. Vol. 32, 1990, pp. 473-490). | MR | Zbl
,[12] Reduction of symplectic manifolds with symmetry (Rep. Math. Phys. Vol. 5, 1974, pp. 121-129). | MR | Zbl
and ,[13] Nonlinear gravitons and curved twistor theory, Gen. Ralativ. Grav. Vol. 7, 1976, pp. 31-52. | MR | Zbl
,[14] Instantons et correspondance de Kostant-Sekiguchi, (C. R. Acad. Sci. Paris., t. 320, Série I, 1995, pp. 901-906). | MR | Zbl
,[15] The local structure of Poisson manifolds, (J. Diff. Geom. Vol. 18, 1983, pp. 523-557). | MR | Zbl
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