Cohomologies et déformations de certaines algèbres de Lie ℤ -graduées

Faouzi Ammar

Publications du Département de mathématiques (Lyon) (1995)

  • Volume: 13, Issue: 2, page 1-77
  • ISSN: 0076-1656

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Ammar, Faouzi. "Cohomologies et déformations de certaines algèbres de Lie $\mathbb {Z}$-graduées." Publications du Département de mathématiques (Lyon) 13.2 (1995): 1-77. <http://eudml.org/doc/274235>.

@article{Ammar1995,
author = {Ammar, Faouzi},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {differentiable deformations; cohomology of Lie algebras; Lie algebra of vector fields; infinitesimal automorphism; symplectic structure; contact structure},
language = {fre},
number = {2},
pages = {1-77},
publisher = {Université Claude Bernard - Lyon 1},
title = {Cohomologies et déformations de certaines algèbres de Lie $\mathbb \{Z\}$-graduées},
url = {http://eudml.org/doc/274235},
volume = {13},
year = {1995},
}

TY - JOUR
AU - Ammar, Faouzi
TI - Cohomologies et déformations de certaines algèbres de Lie $\mathbb {Z}$-graduées
JO - Publications du Département de mathématiques (Lyon)
PY - 1995
PB - Université Claude Bernard - Lyon 1
VL - 13
IS - 2
SP - 1
EP - 77
LA - fre
KW - differentiable deformations; cohomology of Lie algebras; Lie algebra of vector fields; infinitesimal automorphism; symplectic structure; contact structure
UR - http://eudml.org/doc/274235
ER -

References

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  1. 1- M. Adler : On a trace functional for formal pseudo-differential operator and the symplectic structure of the K-DV Equation. Inventiones Math. n° 5 (1979) p.p 219-248. Zbl0393.35058
  2. 2- A. Lichnerowicz : Déformations et quantifications, Lectures Notes106 (1979) p.p 209-219. Zbl0426.58009MR553086
  3. 3- G. Leger E. Luks : Cohomology of nilradicals of Borel subalgebras, Transactions of the american mathematical society p.p 305-316 Volume 195 année 1974. Zbl0348.17005MR364554
  4. 4- G. Leger E. Luks : Cohomology theorems of Borel-like solvable Lie algebras in arbitrary characteristic. Canad. J. Math. volume 24 (1972) p.p 1019-1026. Zbl0272.17004MR320104
  5. 5- B. Feigin A. Fialowski : Cohomology of the nilpotent subalgebras of current Lie algebras. Studia scientiarium hathematicarura Hunguaria (1980) Zbl0597.17009
  6. 6- A. Fialowski : Deformations of nilpotent Kac-Moody algebras, Studia scientiarium Mathematicarum Hunguaria volume 13 (1984) Zbl0496.17008MR874514
  7. 7- J.E. Humphreys : Introduction to Lie algebras and representation theory. Third Printing Revised. Springer-Verlag. New YorkHeidelbergBerlin. Zbl0447.17002MR323842
  8. 8- P.J. Hilton U. Stammbach : A course in homological AlgebraSpringer-Verlag. New YorkHeidelbergBerlin. Zbl0238.18006MR1438546
  9. 9- M. De Wilde P.B.A. Lecomte : Formel deformations of the Poisson Lie algebra of a symplectic manifold and Star-products. Existence, equivalence, derivations. Deformation theory of algebras and structures and applications. M. HazewenkelM. Gerstenhaber, Eds Khuver Academie PublishersDordrecht897-9601988 Zbl0685.58039MR981635

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