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math-ph2013★ 4 cited
Constructing 3-Lie algebras
Ruipu Bai, Yong Wu
3-Lie algebras are constructed by Lie algebras, derivations and linear functions, associative commutative algebras, whose involutions and derivations. Then the 3-Lie algebras are o…
math-ph2013
Rota-Baxter 3-Lie algebras
Ruipu Bai, Li Guo, Jianqian Li +1
In this paper we introduce the concepts of a Rota-Baxter operator and a differential operator with weights on an -algebra. We then focus on Rota-Baxter 3-Lie algebras and show t…