On Leibniz homology
Pirashvili, Teimuraz
Annales de l'Institut Fourier, Tome 44 (1994), p. 401-411 / Harvested from Numdam

Nous décrivons une suite spectrale pour le calcul de la cohomologie de Leibniz sur les algèbres de Lie.

We describe a spectral sequence for computing Leibniz cohomology for Lie algebras.

@article{AIF_1994__44_2_401_0,
     author = {Pirashvili, Teimuraz},
     title = {On Leibniz homology},
     journal = {Annales de l'Institut Fourier},
     volume = {44},
     year = {1994},
     pages = {401-411},
     doi = {10.5802/aif.1403},
     mrnumber = {96f:17030},
     zbl = {0821.17023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1994__44_2_401_0}
}
Pirashvili, Teimuraz. On Leibniz homology. Annales de l'Institut Fourier, Tome 44 (1994) pp. 401-411. doi : 10.5802/aif.1403. http://gdmltest.u-ga.fr/item/AIF_1994__44_2_401_0/

[D]J. Dixmier, Cohomologie des algèbres de Lie nilpotentes. Acta Sci. Math. Szeged., 16 (1955), 246-250. | MR 17,645b | Zbl 0066.02403

[HS]P.J. Hilton, and U. Stammbach, A course in homological algebra (Grad. Texts in Math., vol. 4). Berlin, Heidelberg, New York, Springer Verlag, 1971. | MR 49 #10751 | Zbl 0238.18006

[K]J.L. Koszul, Homologie et cohomologie des algèbres de Lie. Bull. Soc. Math. France, 78 (1950), 65-127. | Numdam | MR 12,120g | Zbl 0039.02901

[CH]J.L. Loday, Cyclic homology. (Grund. Math. Wiss., Bd. 301), Berlin, Heidelberg, New York, Springer Verlag, 1992. | MR 94a:19004 | Zbl 0780.18009

[LP]J.L. Loday, and T. Pirashvili, Universal enveloping algebras of Leibniz algebras and (co)homology, Math. Ann., 296 (1993), 139-158. | MR 94j:17003 | Zbl 0821.17022

[N]P. Ntolo, in preparation.

[Q]D. Quillen, On the (co)-homology of commutative rings. Proc. Symp. Pure Math., 17 (1970), 65-87. | MR 41 #1722 | Zbl 0234.18010

[T]A.K. Tolpygo, Cohomologies of parabolic Lie algebras, Mathematical notes of the Academy of Sciences of the USSR (Translations), 12 (1972), 585-588. | MR 48 #4067 | Zbl 0256.18012