Algèbres de Leibnitz : définitions, propriétés

C. Cuvier

Annales scientifiques de l'École Normale Supérieure (1994)

  • Volume: 27, Issue: 1, page 1-45
  • ISSN: 0012-9593

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Cuvier, C.. "Algèbres de Leibnitz : définitions, propriétés." Annales scientifiques de l'École Normale Supérieure 27.1 (1994): 1-45. <http://eudml.org/doc/82357>.

@article{Cuvier1994,
author = {Cuvier, C.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Leibniz algebras; center; essential center; 2-dimensional Leibniz algebras; partial Lie algebras; homology; cohomology; cohomology groups; abelian extensions; crossed modules; noncommutative version of the Loday- Quillen theorem; stability; -operations},
language = {fre},
number = {1},
pages = {1-45},
publisher = {Elsevier},
title = {Algèbres de Leibnitz : définitions, propriétés},
url = {http://eudml.org/doc/82357},
volume = {27},
year = {1994},
}

TY - JOUR
AU - Cuvier, C.
TI - Algèbres de Leibnitz : définitions, propriétés
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1994
PB - Elsevier
VL - 27
IS - 1
SP - 1
EP - 45
LA - fre
KW - Leibniz algebras; center; essential center; 2-dimensional Leibniz algebras; partial Lie algebras; homology; cohomology; cohomology groups; abelian extensions; crossed modules; noncommutative version of the Loday- Quillen theorem; stability; -operations
UR - http://eudml.org/doc/82357
ER -

References

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  1. [BC] H.-J. BAUES et D. CONDUCHÉ, The Central Series for Peiffer Commutators in Groups with Operators (J. Algebra, vol. 133, 1990, pp. 1-34). Zbl0704.55008MR91m:20051
  2. [C] C. CUVIER, Homologie des algèbres de Leibnitz, C.R. Acad. Sci. Paris, 1991 (à paraître). 
  3. [CE] H. CARTAN et S. EILENBERG, Homological Algebra, Princeton University Press, 1956. Zbl0075.24305MR17,1040e
  4. [ChE] C. CHEVALLEY et S. EILENBERG, Cohomology Theory of Lie Groups and Lie Algebras (Trans. of the A.M.S., vol. 63, 1948, p. 85-124). Zbl0031.24803MR9,567a
  5. [L] J.-L. LODAY, Cyclic Homology (à paraître). 
  6. [L1] J.-L. LODAY, Opérations sur l'homologie cyclique des algèbres commutatives (Inventiones Mathematicœ, vol. 96, 1990, p. 205-230). Zbl0686.18006MR89m:18017
  7. [LP] J.-L. LODAY et C. PROCESI, Cyclic Homology and Lambda Operations, in K-Theory : connections with Geometry and Topology, NATO ASI series C, vol. 279, 1989, p. 209-224. Zbl0719.19002MR91e:19002
  8. [LQ] J.-L. LODAY et D. QUILLEN, Cyclic Homology and the Lie Algebra Homology of Matrices (Commentarii Math. Helvetici, vol. 59, 1984, p. 565-591). Zbl0565.17006MR86i:17003
  9. [ML] S. MACLANE, Homology, Springer-Verlag, 1963. Zbl0133.26502MR28 #122
  10. [MM] J. MILNOR et J.-C. MOORE, On the Structure of Hopf Algebras (Annals of Math., vol. 91, 1965, p. 211-264). Zbl0163.28202MR30 #4259

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