Volume 35 • Number 2A • 2012   • On Contractions and Invariants of Leibniz Algebras Isamiddin S. Rakhimov and Kamel A. Mohd. Atan Abstract. In this paper, contractions of complex Leibniz algebras are considered. A short summary of the history, relationships of different definitions and comparisons of them are given. We focus on the contractions of three-dimensional case of complex Leibniz algebras. A several contraction invariants that are useful in determining whether one algebra can be obtained as an contraction of another algebra are given. 2010 Mathematics Subject Classification: 14L30, 14R20, 17A32. Full text: PDF