2023/07/14 by Ying Chen, Chen, Ying, Chuangchuang Kang +5
Mathematics · #17A42 #17B37 #17B60 #17B62 #Advanced Topics in Algebra #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2307.15075
openalex publication_date 2023/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we study the Manin triples associated to n-Lie bialgebras. We introduce the concept of operad matrices for n-Lie bialgebras. In particular, by studying a special case of operad matrices, it leads to the notion of local cocycle n-Lie bialgebras. Furthermore, we establish a one-to-one correspondence between the double of n-Lie bialgebras and Manin triples of n-Lie algebras.