Demonstrates properties and construction methods for left-invariant products in cosymplectic algebras, suggesting new classifications in three and five dimensions.
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.
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Bourkadi et al. (2024) studied this question.
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