182 citations · 1.2k across the 66 of their papers we have counts for
5 papers · 1 filter
Nonabelian generalized Lax pairs, the classical Yang-Baxter equation and PostLie algebras
Xiang Ni, Chengming Bai, Li Guo
We generalize the classical study of (generalized) Lax pairs and the related -operators and the (modified) classical Yang-Baxter equation by introducing the concepts of nonabeli…
-operators on associative algebras and associative Yang-Baxter equations
Chengming Bai, Li Guo, Xiang Ni
We introduce the concept of an extended O-operator that generalizes the well-known concept of a Rota-Baxter operator. We study the associative products coming from these operators…
-operators of Loday algebras and analogues of the classical Yang-Baxter equation
Chengming Bai
We introduce notions of -operators of the Loday algebras including the dendriform algebras and quadri-algebras as a natural generalization of Rota-Baxter operators. T…
Pre-alternative algebras and pre-alternative bialgebras
Xiang Ni, Chengming Bai
We introduce a notion of pre-alternative algebra which may be seen as an alternative algebra whose product can be decomposed into two pieces which are compatible in a certain way.…
Yangian symmetry in molecule {V6} and four-spin Heisenberg model
Xu-Biao Peng, Cheng-Ming Bai, Mo-Lin Ge
The symmetry operator is introduced to re-describe the Heisenberg spin triangles in the \{V6\} molecule, where stands for the Yangian operator which can be vie…