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3-Lie bialgebras and 3-pre-Lie algebras induced by involutive derivations
Ruipu Bai, Shuai Hou, Chuangchuang Kang
In this paper, we study the structure of 3-Lie algebras with involutive derivations. We prove that if is an -dimensional 3-Lie algebra with an involutive derivation , the…
math.RA2019
The infinite dimensional Unital 3-Lie Poisson algebra
Chuangchuang Kang, Ruipu Bai, Yingli Wu
From a commutative associative algebra , the infinite dimensional unital 3-Lie Poisson algebra~~is constructed, which is also a canonical Nambu 3-Lie algebra, and…