Algèbres de Lie, systèmes hamiltoniens, courbes algébriques

Jean-Louis Verdier

Séminaire Bourbaki (1980-1981)

  • Volume: 23, page 85-94
  • ISSN: 0303-1179

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Verdier, Jean-Louis. "Algèbres de Lie, systèmes hamiltoniens, courbes algébriques." Séminaire Bourbaki 23 (1980-1981): 85-94. <http://eudml.org/doc/109982>.

@article{Verdier1980-1981,
author = {Verdier, Jean-Louis},
journal = {Séminaire Bourbaki},
keywords = {hamiltonian systems on semi-simple Lie algebras; description of hamiltonian flows in terms of Jacobian algebraic curves; Lie algebras of infinite dimension; Euler equations on Lie algebras; Kostant-Kurilov symplectic structure; Kac-Moody algebras},
language = {fre},
pages = {85-94},
publisher = {Springer-Verlag},
title = {Algèbres de Lie, systèmes hamiltoniens, courbes algébriques},
url = {http://eudml.org/doc/109982},
volume = {23},
year = {1980-1981},
}

TY - JOUR
AU - Verdier, Jean-Louis
TI - Algèbres de Lie, systèmes hamiltoniens, courbes algébriques
JO - Séminaire Bourbaki
PY - 1980-1981
PB - Springer-Verlag
VL - 23
SP - 85
EP - 94
LA - fre
KW - hamiltonian systems on semi-simple Lie algebras; description of hamiltonian flows in terms of Jacobian algebraic curves; Lie algebras of infinite dimension; Euler equations on Lie algebras; Kostant-Kurilov symplectic structure; Kac-Moody algebras
UR - http://eudml.org/doc/109982
ER -

References

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  1. [1] A. Adler - On a Trace Functional for Formal Pseudo Differential Operators and the symplectic structure of the Korteweg-De Vries Type Equations, Inventiones Math.50(1979), 219-248. Zbl0393.35058
  2. [2] M. Adler and P. van Moerbeke - Linearization of Hamiltonian systems, Jacobi Varieties and representation theory, Advances in Math., vol. 38, n°3 (1980), 267-317. Zbl0455.58017MR597729
  3. Linearization of Hamiltonian systems, Jacobi Varieties and Representation Theory, Advances in Math., vol. 38, n° 3(1980), 318-379. Zbl0455.58010MR597730
  4. [3] F. Calogero - Exactly Solvable One-Dimensional Many Body Problems, Letters al Nuovo Cimento, vol. 13, n° 11(1975), 411-416. MR388895
  5. [4] P. Van Moerbeke - The spectrum of Jacobi Matrices, Inventiones Math., 37(1976), 45-81. Zbl0361.15010MR650253
  6. [5] D. Kazhdan, B. Kostant and S. Sternberg - Hamiltonian Group Action and Dynamical Systems of Calogero Type, Comm. in Pure and Applied Math., vol. XXXI (1978), 481-507. Zbl0368.58008MR478225
  7. [6] B. Kostant - The solution to a Generalized Toda Lattice and Representation Theory, Adv. in Math., vol. 34, n° 3(1979), 195-338. Zbl0433.22008MR550790
  8. [7] S. Kowalevska - Sur le problème de la rotation d'un corps solide autour d'un point fixe, Acta Math., vol. 12(1888), 177-232. Zbl1173.70303JFM21.0935.01
  9. [8] M.A. Olshanetsky and A.M. Perelomov - Completely Integrable Hamiltonian Systems Connected with Semi Simple Lie Algebras, Inventiones Math., 37(1976), 93-108. Zbl0342.58017MR426053
  10. [9] W.W. Symes - System of Toda Type, Inverse Spectral Problems, and Representation Theory, Inventiones Math., 59(1980), 13-51. Zbl0474.58009MR575079
  11. Les lecteurs intéressés par l'oeuvre littéraire et scientifique de S. Kowalevska pourront consulter : Sofya Kowalevska : A Russian Chilhood, Springer-Verlag (1978). 

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