182 citations · 1.3k across the 103 of their papers we have counts for
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Bialgebras, Frobenius algebras and associative Yang-Baxter equations for Rota-Baxter algebras
Chengming Bai, Li Guo, Tianshui Ma
Rota-Baxter operators and bialgebras go hand in hand in their applications, such as in the Connes-Kreimer approach to renormalization and the operator approach to the classical Yan…
Crossed homomorphisms and Cartier-Kostant-Milnor-Moore theorem for difference Hopf algebras
Li Guo, Yunnan Li, Yunhe Sheng +1
The celebrated Milnor-Moore theorem and the more general Cartier-Kostant-Milnor-Moore theorem establish close relationships of a connected and a pointed cocommutative Hopf algebra…
Integral operators on lattices
Aiping Gan, Li Guo
As an abstraction and generalization of the integral operator in analysis, integral operators (known as Rota-Baxter operators of weight zero) on associative algebras and Lie algebr…
Rota's program on algebraic operators, rewriting systems and Gröbner-Shirshov bases
Xing Gao, Li Guo, Huhu Zhang
Many years ago, Rota proposed a program on determining algebraic identities that can be satisfied by linear operators. After an extended period of dormant, progress on this program…
On differential lattices
Aiping Gan, Li Guo
This paper studies the differential lattice, defined to be a lattice equipped with a map that satisfies a lattice analog of the Leibniz rule for a derivation. Isomor…
Compatible structures on unary binary nonsymmetric operads with quadratic and cubic relations
Xing Gao, Li Guo, Huhu Zhang
Various compatibility conditions among replicated copies of operations in a given algebraic structure have appeared in broad contexts in recent years. Taking an uniform approach, t…