Title of article :
On Contractions and Invariants of Leibniz Algebras
Author/Authors :
RAKHIMOV, ISAMIDDIN S. Universiti Putra Malaysia - Faculty of Science, Institute for Mathematical Research (INSPEM) - Department of Mathematics, Malaysia , ATAN, KAMEL A. MOHD. Universiti Putra Malaysia - Faculty of Science, Institute for Mathematical Research (INSPEM) - Department of Mathematics, Malaysia
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.
Keywords :
Variety of Leibniz algebras , irreducible component , degeneration , rigid algebra
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
