Sur l'algèbre de Poisson des symboles d'une algèbre de polynômes

Samuel Dieudonné Ekong

Publications du Département de mathématiques (Lyon) (1980)

  • Volume: 17, Issue: 2, page 57-77
  • ISSN: 0076-1656

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Ekong, Samuel Dieudonné. "Sur l'algèbre de Poisson des symboles d'une algèbre de polynômes." Publications du Département de mathématiques (Lyon) 17.2 (1980): 57-77. <http://eudml.org/doc/274253>.

@article{Ekong1980,
author = {Ekong, Samuel Dieudonné},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {algebraic differential operators over an algebra; algebra of symbols; derivations of a Poisson algebra of polynomials},
language = {fre},
number = {2},
pages = {57-77},
publisher = {Université Claude Bernard - Lyon 1},
title = {Sur l'algèbre de Poisson des symboles d'une algèbre de polynômes},
url = {http://eudml.org/doc/274253},
volume = {17},
year = {1980},
}

TY - JOUR
AU - Ekong, Samuel Dieudonné
TI - Sur l'algèbre de Poisson des symboles d'une algèbre de polynômes
JO - Publications du Département de mathématiques (Lyon)
PY - 1980
PB - Université Claude Bernard - Lyon 1
VL - 17
IS - 2
SP - 57
EP - 77
LA - fre
KW - algebraic differential operators over an algebra; algebra of symbols; derivations of a Poisson algebra of polynomials
UR - http://eudml.org/doc/274253
ER -

References

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  1. [1] A. Avez et A. Lichnerowicz, Dérivations et premier groupe de cohomologie des algèbres de Lie attachées à une variété symplectiqueC.R.A.S.Paris, série A. 275 (1972) 113-118; Zbl0243.58001MR362401
  2. [2] A. Borel, Linear algebraic groups, BenjaminN. Y. (1969). Zbl0186.33201MR251042
  3. [3] N. Bourbaki, Groupes et algèbres de Lie, Chap. I, Hermann, Paris (1971). Zbl0483.22001MR271276
  4. [4] N. Bourbaki, Algèbre, Chap. 4, Hermann, Paris (1959). 
  5. [5] J. Braconnier, C.R.A.S., Paris, série A, 284 (1977), 1345-1348. Zbl0356.17007MR443000
  6. [6] M. Flato, A. Lichnerowicz, D. Sternheimer, Déformations 1-différentiables d'algèbres de Lie attachées à une variété symplectique ou de contact, C.R.A.S.Paris, série A. 279 (1974), 877-881. Zbl0289.53031MR368070
  7. [7] M. Flato, A. Lichnerowicz, D. Sternheimer, Algèbres de Lie attachées à une variété canonique, J. Math. Pures et Appl.54, (1975) 445-480. Zbl0318.53041MR448416
  8. [8] N. Jacobson, Lie Algebras, Inter-Science Publishers, J. Wiley and SonsN. Y. (1962). Zbl0121.27504MR143793
  9. [9] N. Jacobson, A note on automorphisms of Lie algebras, Pacific, J. MATH.12 (1962), 303-315. Zbl0109.26201MR148716
  10. [10] A. Lichnerowicz, Les variétés de Poisson et leurs algèbres de Lie associées, J. Diff. Geom.12 (1977) 253-300. Zbl0405.53024MR501133
  11. [11] A. Lichnerowicz, M. Flato, D. Sternheimer, F. Bayen, C. Fronsdal. Deformation theory and quantization, I deformations of symplectic structures, U.C.L.A.77/T.E.P./7, February 1977. Zbl0377.53024MR496157
  12. [12] A. M. Vinogradov, and I. S. Krasil'shchik, What is the hamiltonnian formalism, Russian Math. surveys, 30-1 (1975) 177-202. Zbl0327.70006MR650307
  13. [13] L. S. Wollenberg, Derivations of the Lie algebra of polynomials under Poisson bracket, Proc. Ame. Math. Soc.20 (1969) 315-320. Zbl0177.05701MR233938
  14. [14] L. S. Wollenberg, Automorphisms of the Lie algebra of polynomials under Poisson bracket, J. Math. Phys. Vol. 17, n° 11 (1976) 2074-2081. Zbl0344.17009MR421391

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