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arXiv · 2412.16273

Compatible anti-pre-Lie algebras

Zafar Normatov
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Abstract

In this paper, we introduce the notion of compatible anti-pre-Lie algebras and study relationship between them and the related structures such as anti-$\mathcal{O}$-operators, commutative $2$-cocycles on compatible Lie algebras. Moreover, we give the classification of $2$-dimensional compatible anti-pre-Lie algebras from the classification of anti-pre-Lie algebras of the same dimension.

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Zafar Normatov. 2024-12-20. Compatible anti-pre-Lie algebras. https://arxiv.org/abs/2412.16273

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