Extensions essentielles d'algèbres de Lie classiques de dimensions infinies

André Lichnerowicz

Publications du Département de mathématiques (Lyon) (1987)

  • Volume: 301, Issue: 1B, page 1-16
  • ISSN: 0076-1656

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Lichnerowicz, André. "Extensions essentielles d'algèbres de Lie classiques de dimensions infinies." Publications du Département de mathématiques (Lyon) 301.1B (1987): 1-16. <http://eudml.org/doc/273588>.

@article{Lichnerowicz1987,
author = {Lichnerowicz, André},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {Lie algebra of vector fields; essential extension; universal extension; abelian Lie algebra; unimodular structure; generalized foliation},
language = {fre},
number = {1B},
pages = {1-16},
publisher = {Université Claude Bernard - Lyon 1},
title = {Extensions essentielles d'algèbres de Lie classiques de dimensions infinies},
url = {http://eudml.org/doc/273588},
volume = {301},
year = {1987},
}

TY - JOUR
AU - Lichnerowicz, André
TI - Extensions essentielles d'algèbres de Lie classiques de dimensions infinies
JO - Publications du Département de mathématiques (Lyon)
PY - 1987
PB - Université Claude Bernard - Lyon 1
VL - 301
IS - 1B
SP - 1
EP - 16
LA - fre
KW - Lie algebra of vector fields; essential extension; universal extension; abelian Lie algebra; unimodular structure; generalized foliation
UR - http://eudml.org/doc/273588
ER -

References

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  1. [1] M. Flato et A. Lichnerowicz, C.R. Acad. Sci.Paris291 A, 1980, p. 331-335. Zbl0462.58011MR591764
  2. [2] M. de Wilde et P. Lecomte, J. Math, pures et appl.62, 1983, p. 197. Zbl0481.58032MR713396
  3. [3] A. Lichnerowicz et J.A. Pereira da Silva, C.R. Acad. Sci.Paris301 I, 1985, p. 311-315 et 363-367. Extensions essentielles privilégiées d'algèbres de Lie classiques de dimensions infinies. J. Math, pures et appl. (à paraître). 
  4. [4] A. Lichnerowicz, Ann. Inst. Fourier24, 1974, p. 219-266. Zbl0289.58002MR383471
  5. [5] H.S. Sussmann, Trans. Amer. Math. Soc.180, 1973, p. 171. Zbl0274.58002MR321133
  6. [6] J.L. Schouten, Conv. Int. Geom. Diff., CremoneseRoma1954 
  7. A. NijenhuisIndag. Math.17, 1955, p. 390. MR74879
  8. [7] F. Guedira et A. Lichnerowicz, J. Math. pures et appl.63, 1984, p. 407-484. Zbl0562.53029MR789560
  9. [8] A.A. Kirillov, Russ. Math. Surv.31, 1976, p. 55. Zbl0357.58003

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