Normalisation d'une représentation non linéaire d'une algèbre de Lie

Didier Arnal; Mabrouk Benammar; Mohamed Selmi

Annales de la Faculté des sciences de Toulouse : Mathématiques (1988)

  • Volume: 9, Issue: 3, page 355-379
  • ISSN: 0240-2963

How to cite

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Arnal, Didier, Benammar, Mabrouk, and Selmi, Mohamed. "Normalisation d'une représentation non linéaire d'une algèbre de Lie." Annales de la Faculté des sciences de Toulouse : Mathématiques 9.3 (1988): 355-379. <http://eudml.org/doc/73219>.

@article{Arnal1988,
author = {Arnal, Didier, Benammar, Mabrouk, Selmi, Mohamed},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {normal form; nonlinear formal representation; complex Lie algebra},
language = {fre},
number = {3},
pages = {355-379},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Normalisation d'une représentation non linéaire d'une algèbre de Lie},
url = {http://eudml.org/doc/73219},
volume = {9},
year = {1988},
}

TY - JOUR
AU - Arnal, Didier
AU - Benammar, Mabrouk
AU - Selmi, Mohamed
TI - Normalisation d'une représentation non linéaire d'une algèbre de Lie
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1988
PB - UNIVERSITE PAUL SABATIER
VL - 9
IS - 3
SP - 355
EP - 379
LA - fre
KW - normal form; nonlinear formal representation; complex Lie algebra
UR - http://eudml.org/doc/73219
ER -

References

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  2. [2] Ben Ammar ( M.). - Nonlinear representations of connected nilpotent real Lie groups, L.M.P., t. 8, 1984, p. 119-126. Zbl0577.22011MR740813
  3. [3] Brjuno ( A.). — Forme analytique des équations différentielles, Trandy M.M.O., t. 25, 1971, p. 119-262. 
  4. [4] Chaperon ( M.).- Géométrie différentielle et singularité de systèmes dynamiques, Astérisque, t. 138.139, 1986. Zbl0601.58002MR858911
  5. [5] Kuo Tsei Chen .— Equivalence and decomposition of vector fields about an elementary critical point, Amer. J. Math., t. 85, 1963, p. 693-722. Zbl0119.07505MR160010
  6. [6] Dumortier ( F.) et Roussarie ( R.). — Smooth linearization of germs of R2 actions and holomorphic vector fields, Ann. Inst. Fourier, 30(1), p. 31-64. Zbl0418.58015MR576072
  7. [7] Flato ( M.), Pinczon ( G.), Simon ( J.). — Nonlinear representations of Lie groups, Ann. Scien. E.N. Sup.Paris, 4e série, t. 10, 1977, p. 405. Zbl0384.22005MR507241
  8. [8] Guillemin ( V.W.) and Sternberg ( S.). — Remarks on a paper of Hermann, Trans. Amer. Math. Soc., t. 130, 1968, p. 110-116. Zbl0155.05701MR217226
  9. [9] Hermann ( R.). — The formal linearization of a semi-simple Lie algebra of vector fields about a singular point, Trans. Amer. Soc., t. 130, 1968, p. 105-109. Zbl0155.05604MR217225
  10. [10] Hochschild ( G.) and Serre ( J.P.). - Cohomology of Lie algebras, Ann. of Math., t. 57 n°3, 1953, p. 591-603. Zbl0053.01402MR54581
  11. [11] Jabobson ( N.). — Lie algebras. — Dover Public. Inc. -N.Y.1962. Zbl0121.27504
  12. [12] Livingston ( E.S.) and Elliot ( D.L.). - Linearization of vector fields, Journal of diffequations, t. 55 n°3, 1984, p. 289-299. Zbl0508.58043MR766125
  13. [13] Serre ( J.P.). — Lie algebras and Lie groups. — W.A. Benjamin, Inc.New-York, Amsterdam, 1965. Zbl0132.27803MR218496

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