On a conjecture of transposed Poisson n-Lie algebras

2023/12/07 by Junyuan Huang, Xueqing Chen, Huang, Junyuan +5 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2312.04010

openalex publication_date 2023/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we obtain a rich family of identities for transposed Poisson n-Lie algebras, and then prove the conjecture of Bai, Bai, Guo and Wu in \citeBBGW under certain strong condition.

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• Matched pairs and double construction bialgebras of (transposed) Poisson 3-Lie algebras

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