27 citations · 63 across the 6 of their papers we have counts for
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math-ph2013★ 23 cited
Rota-Baxter operators on and solutions of the classical Yang-Baxter equation
Jun Pei, Chengming Bai, Li Guo
We explicitly determine all Rota-Baxter operators (of weight zero) on under the Cartan-Weyl basis. For the skew-symmetric operators, we give the corresponding skew-symmet…
math.CT2013★ 6 cited
Splitting of operads and Rota-Baxter operators on operads
Jun Pei, Chengming Bai, Li Guo
This paper establishes a uniform procedure to split the operations in any algebraic operad, generalizing previous known notions of splitting algebraic structures from the dendrifor…
math.QA2013★ 7 cited
Replicating of binary operads, Koszul duality, Manin products and average operators
Jun Pei, Chengming Bai, Li Guo +1
We consider the notions of the replicators, including the duplicator and triplicator, of a binary operad. As in the closely related notions of di-Var-algebra and tri-Var-algebra in…