On Leibniz homology

Teimuraz Pirashvili

Annales de l'institut Fourier (1994)

  • Volume: 44, Issue: 2, page 401-411
  • ISSN: 0373-0956

Abstract

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

How to cite

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Pirashvili, Teimuraz. "On Leibniz homology." Annales de l'institut Fourier 44.2 (1994): 401-411. <http://eudml.org/doc/75067>.

@article{Pirashvili1994,
abstract = {We describe a spectral sequence for computing Leibniz cohomology for Lie algebras.},
author = {Pirashvili, Teimuraz},
journal = {Annales de l'institut Fourier},
keywords = {semisimple Lie algebra; Leibniz homology; Leibniz algebras; spectral sequences; nilpotent Lie algebra},
language = {eng},
number = {2},
pages = {401-411},
publisher = {Association des Annales de l'Institut Fourier},
title = {On Leibniz homology},
url = {http://eudml.org/doc/75067},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Pirashvili, Teimuraz
TI - On Leibniz homology
JO - Annales de l'institut Fourier
PY - 1994
PB - Association des Annales de l'Institut Fourier
VL - 44
IS - 2
SP - 401
EP - 411
AB - We describe a spectral sequence for computing Leibniz cohomology for Lie algebras.
LA - eng
KW - semisimple Lie algebra; Leibniz homology; Leibniz algebras; spectral sequences; nilpotent Lie algebra
UR - http://eudml.org/doc/75067
ER -

References

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  1. [D]J. DIXMIER, Cohomologie des algèbres de Lie nilpotentes. Acta Sci. Math. Szeged., 16 (1955), 246-250. Zbl0066.02403MR17,645b
  2. [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. Zbl0238.18006MR49 #10751
  3. [K]J.L. KOSZUL, Homologie et cohomologie des algèbres de Lie. Bull. Soc. Math. France, 78 (1950), 65-127. Zbl0039.02901MR12,120g
  4. [CH]J.L. LODAY, Cyclic homology. (Grund. Math. Wiss., Bd. 301), Berlin, Heidelberg, New York, Springer Verlag, 1992. Zbl0780.18009MR94a:19004
  5. [LP]J.L. LODAY, and T. PIRASHVILI, Universal enveloping algebras of Leibniz algebras and (co)homology, Math. Ann., 296 (1993), 139-158. Zbl0821.17022MR94j:17003
  6. [N]P. NTOLO, in preparation. 
  7. [Q]D. QUILLEN, On the (co)-homology of commutative rings. Proc. Symp. Pure Math., 17 (1970), 65-87. Zbl0234.18010MR41 #1722
  8. [T]A.K. TOLPYGO, Cohomologies of parabolic Lie algebras, Mathematical notes of the Academy of Sciences of the USSR (Translations), 12 (1972), 585-588. Zbl0256.18012MR48 #4067

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