Compatible anti-pre-Lie algebras

2024/12/20 by Normatov, Zafar
#16P10 #17A30 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2412.16273

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-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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