Skip to main content
Article thumbnail
Location of Repository

About Leibniz cohomology and deformations of Lie algebras

By Alice Fialowski, Louis Magnin and Ashis Mandal


We compare the second adjoint and trivial Leibniz cohomology spaces of a Lie algebra to the usual ones by a very elementary approach. The comparison gives some conditions, which are easy to verify for a given Lie algebra, for deciding whether it has more Leibniz deformations than just the Lie ones. We also give the complete description of a Leibniz (and Lie) versal deformation of the 4-dimensional diamond Lie algebra, and study the case of its 5-dimensional analogue.Comment: 17 page

Topics: Mathematics - Quantum Algebra, Mathematics - K-Theory and Homology, 17A32, 17B56, 14D15
Year: 2011
OAI identifier:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.