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Bibliographic Details
Main Authors:	Chen, Ying, Kang, Chuangchuang, Lü, Jiafeng, Yu, Shizhuo
Format:	Preprint
Published:	2023
Subjects:	Rings and Algebras Mathematical Physics 17B62, 17A42, 17B37, 17B60
Online Access:	https://arxiv.org/abs/2307.15075
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Table of Contents:

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.