Invariant cohomology of the Poisson Lie algebra of a symplectic manifold

Marc De Wilde; Pierre B. A. Lecomte; Dominique Mélotte

Commentationes Mathematicae Universitatis Carolinae (1985)

  • Volume: 026, Issue: 2, page 337-352
  • ISSN: 0010-2628

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De Wilde, Marc, Lecomte, Pierre B. A., and Mélotte, Dominique. "Invariant cohomology of the Poisson Lie algebra of a symplectic manifold." Commentationes Mathematicae Universitatis Carolinae 026.2 (1985): 337-352. <http://eudml.org/doc/17388>.

@article{DeWilde1985,
author = {De Wilde, Marc, Lecomte, Pierre B. A., Mélotte, Dominique},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Poisson algebras; Hamiltonian vectorfields; symplectic manifold; Chevalley cohomology},
language = {eng},
number = {2},
pages = {337-352},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Invariant cohomology of the Poisson Lie algebra of a symplectic manifold},
url = {http://eudml.org/doc/17388},
volume = {026},
year = {1985},
}

TY - JOUR
AU - De Wilde, Marc
AU - Lecomte, Pierre B. A.
AU - Mélotte, Dominique
TI - Invariant cohomology of the Poisson Lie algebra of a symplectic manifold
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1985
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 026
IS - 2
SP - 337
EP - 352
LA - eng
KW - Poisson algebras; Hamiltonian vectorfields; symplectic manifold; Chevalley cohomology
UR - http://eudml.org/doc/17388
ER -

References

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  1. M. De WILDE S. CUTT P. LECOMTE, A propos des deuxieme et troisième espaces de cohomologie de l'algèbre de Lie de Poisson d'une variété symplectique, Ann. Inst. H. Poinearé, Vol. 40, no 1 (1984), 77-93. (1984) MR0745682
  2. M. De WILDE P. LECOMTE, Cohomology of the Lie algebra of smooth vector fields of a manifold, J. Math. P. et Appl. 62 (1983), 197-214. (1983) MR0713396
  3. M. De WILDE P. LECOMTE, Cohomologie 3-différentiable de l'algèbre de Poisson d une variété symplectique, Ann. Inst. Fourier XXXIII, fasc. 4 (1983), 83-94. (1983) 
  4. W. GREUB S. HALPERIN R. VAHSTONE, Connections, curvature and cohomology, III, Academic Press, New York - London, 1972. (1972) 
  5. S. CUTT, Second et troisième espaces de cohomologie différentiable de l'algèbre de Lie de Poisson d'une variété symplectique, Ann. Inst. H. Poincaré 33, 1 (1981), 1-31. (1981) 
  6. S. CUTT, Déformations formelles de l'algèbre des fonctions différentiables sur une variété symplectique, Doctor Thesis, Brussels, 1979. (1979) 
  7. A. LICHNEROWICZ, Déformations d’algèbres associées à une variété symplectique (les * ν -produits), Ann. Inst. Fourier 32, 1 (1982), 157-209. (1982) MR0658948
  8. J. VEY, Déformation du crochet de Poisson d'une variété symplectique, Comm. Math. Helv. 50 (1975), 421-454. (1975) MR0420753

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