On Contractions and Invariants of Leibniz Algebras
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2A
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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.
Classification :
14L30, 14R20, 17A32.
@article{BMMS_2012_35_2A_a10,
author = {Isamiddin S. Rakhimov and Kamel A. Mohd. Atan},
title = {On {Contractions} and {Invariants} of {Leibniz} {Algebras}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2012},
volume = {35},
number = {2A},
url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_2A_a10/}
}
Isamiddin S. Rakhimov; Kamel A. Mohd. Atan. On Contractions and Invariants of Leibniz Algebras. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2A. http://geodesic.mathdoc.fr/item/BMMS_2012_35_2A_a10/