On cosymplectic Lie Algebras
S. El bourkadi, M. W. Mansouri
TL;DR
This paper explores properties, constructions, and classifications of cosymplectic Lie algebras, revealing their support for a left symmetric product and providing detailed classifications in low dimensions.
Contribution
It introduces new properties, construction methods, and classifications of cosymplectic Lie algebras, especially in three and five dimensions.
Findings
Cosymplectic Lie algebras support a left symmetric product.
Constructed new examples of cosymplectic Lie algebras.
Provided classifications in three and five dimensions.
Abstract
We give some properties of cosymplectic Lie algebras, we show, in particular, that they support a left symmetric product. We also give some constructions of cosymplectic Lie algebras, as well as a classification in three and five-dimensional cosymplectic Lie algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Finite Group Theory Research