Universal central extension of direct limits of Hom-Lie algebras

Khalili, Valiollah

doi:10.21136/cmj.2018.0290-17

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Direct Limits Of Hom-lie Superalgebras1

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2021

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Cited by 3 publications

(1 citation statement)

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“…In this section, we generalize the result in [12] to the category of Hom-Lie superalgebras. In particular, our results in this section recover the results in [9], which deals with the special case of Hom-Lie algebras.…”

Section: Direct Limits Of Hom-lie Superalgebrassupporting

confidence: 81%

Universal Central Extensions of Direct Limits of Hom-Lie Superalgebras

Bigler¹

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Section: Direct Limits Of Hom-lie Superalgebrassupporting

confidence: 81%

Universal Central Extensions of Direct Limits of Hom-Lie Superalgebras

Bigler¹

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The structure of split regular Hom-Leibniz–Poisson color algebras

Khalili

2021

Asian-European J. Math.

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In this paper, we introduce the class of split regular Hom-Leibniz–Poisson color algebras as the natural generalization of split regular Hom-Leibniz algebras, split regular Hom-Poisson algebras and split regular Hom-Leibniz–Poisson superalgebras. By developing techniques of connections of roots for this kind of algebras, we show that such a split regular Hom-Leibniz–Poisson color algebra [Formula: see text] is of the form [Formula: see text], with [Formula: see text] a subspace of the abelian sub algebra [Formula: see text] and any [Formula: see text] a well-described ideal of [Formula: see text], satisfying [Formula: see text] if [Formula: see text] Under certain conditions, in the case of [Formula: see text] being of maximal length, the simplicity and the primeness of the algebra is characterized and it is shown that [Formula: see text] is the direct sum of the family of its minimal ideals, each one being a simple split regular Hom-Leibniz–Poisson color algebra.

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The structure of split regular BiHom-Leibniz color algebras

Khalili¹

2020

Rocky Mountain J. Math.

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Universal central extension of direct limits of Hom-Lie algebras

Cited by 3 publications

References 22 publications

Universal Central Extensions of Direct Limits of Hom-Lie Superalgebras

Universal Central Extensions of Direct Limits of Hom-Lie Superalgebras

The structure of split regular Hom-Leibniz–Poisson color algebras

The structure of split regular BiHom-Leibniz color algebras

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