Extensions of hom-Lie color algebras
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DOI: 10.1515/gmj-2019-2033
Abstract: Abstract In this paper, we study (non-Abelian) extensions of a given hom-Lie color algebra and provide a geometrical interpretation of extensions. In particular, we characterize an extension of a hom-Lie color algebra 𝔤{\mathfrak{g}} by another… read more here.
Keywords: extensions hom; lie color; hom lie; color algebra ... See more keywords
On split Lie color triple systems
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DOI: 10.1515/math-2019-0023
Abstract: Abstract In order to begin an approach to the structure of arbitrary Lie color triple systems, (with no restrictions neither on the dimension nor on the base field), we introduce the class of split Lie… read more here.
Keywords: split lie; color triple; lie color; triple systems ... See more keywords
On n-Hom-pre-Lie color algebras and associated Kupershmidt operators
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DOI: 10.2298/fil2503819n
Abstract: In this paper, we introduce the Hom-color generalization of n-pre-Lie algebras called n-Hom-pre-Lie color algebras in which, we investigate their representation theory and we give some related results and structures based on Rota-Baxter operators, Kupershmidt… read more here.
Keywords: pre lie; lie color; color; hom pre ... See more keywords