Compatible anti-pre-Lie algebras

Autor: Normatov, Zafar
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 20 pages. arXiv admin note: text overlap with arXiv:2207.06200 by other authors
Databáze: arXiv