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arXiv · 1807.09446

Lie-isoclinism of pairs of Leibniz algebras

Zahra Riyahi·José Manuel Casas Mirás
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Abstract

The aim of this paper is to consider the relation between Lie-isoclinism and isomorphism of two pairs of Leibniz algebras. We show that, unlike the absolute case for finite dimensional Lie algebras, these concepts are not identical, even if the pairs of Leibniz algebras are Lie-stem. Moreover, throughout the paper we provide some conditions under which Lie-isoclinism and isomorphism of Lie-stem Leibniz algebras are equal. In order to get this equality, the concept of factor set is studied as well.

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BibTeXRIS

Zahra Riyahi, José Manuel Casas Mirás. 2018-07-25. Lie-isoclinism of pairs of Leibniz algebras. https://arxiv.org/abs/1807.09446

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