Deformations and cohomology theory of Rota-Baxter $3$-Lie algebras of arbitrary weights

Shuangjian Guo, Yufei Qin, Kai Wang +1

A cohomology theory of weighted Rota-Baxter $3$-Lie algebras is introduced. Formal deformations, abelian extensions, skeletal weighted Rota-Baxter $3$-Lie 2-algebras and crossed mo…