Journal of Lie Theory

no. 2
Left-Symmetric Products on Cosymplectic Lie Algebras
Said El Bourkadi1; Mohammed W. Mansouri1
1Dept. of Mathematics, Faculty of Sciences, Ibn Tofail University, Kenitra, Morocco
Journal of Lie Theory, Volume 34 (2024) no. 2, pp. 249-265
We prove some properties of the cosymplectic Lie algebras and show, in particular, that they support a left-invariant product. We also provide some methods to construct these algebras and classify them in dimensions three and five. These constructions provide a large class of left-symmetric algebras in odd dimensions.
DOI: 10.5802/jolt.1335
Classification: 3D15, 22E25
Keywords: Cosymplectic structures, left-symmetric product, double extensions

Said El Bourkadi  1 ; Mohammed W. Mansouri  1

1 Dept. of Mathematics, Faculty of Sciences, Ibn Tofail University, Kenitra, Morocco 
Said El Bourkadi; Mohammed W. Mansouri. Left-Symmetric Products on Cosymplectic Lie Algebras. Journal of Lie Theory, Volume 34 (2024) no. 2, pp. 249-265. doi: 10.5802/jolt.1335
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