C. Bai

activity

20012023

most citedSplitting of operations, Manin products and Rota-Baxter operators

182 citations · 1.2k across the 66 of their papers we have counts for

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Showing 2013 · math-phShow all

3 papers · 2 filters

math-ph2013★ 23 cited

Rota-Baxter operators on $s l (2, C)$ 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 $s l (2, C)$ under the Cartan-Weyl basis. For the skew-symmetric operators, we give the corresponding skew-symmet…

math-ph2013

A new approach to hom-Lie bialgebras

Yunhe Sheng, Chengming Bai

In this paper, we introduce a new definition of a hom-Lie bialgebra, which is equivalent to a Manin triple of hom-Lie algebras. We also introduce a notion of an $O$ -operat…

math-ph2013★ 30 cited

Generalizations of the classical Yang-Baxter equation and O-operators

Chengming Bai, Xiang Ni, Li Guo

Tensor solutions ( $r$ -matrices) of the classical Yang-Baxter equation (CYBE) in a Lie algebra, obtained as the classical limit of the $R$ -matrix solution of the quantum Yang-Baxter…

Rota-Baxter operators on sl(2,C) and solutions of the classical Yang-Baxter equation

A new approach to hom-Lie bialgebras

Generalizations of the classical Yang-Baxter equation and O-operators

Rota-Baxter operators on $s l (2, C)$ and solutions of the classical Yang-Baxter equation