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
From page
557
To page
565
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
Record number
2672470
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