182 citations · 1.3k across the 103 of their papers we have counts for
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Difference operators on lattices
Aiping Gan, Li Guo
A differential operator of weight is the algebraic abstraction of the difference quotient , including both the derivation as approaches…
Koszul duality, minimal model and -structure for differential algebras with weight
Jun Chen, Li Guo, Kai Wang +1
A differential algebra with weight is an abstraction of both the derivation (weight zero) and the forward and backward difference operators (weight ). In 2010 Loday establis…
Quivers and path semigroups characterized by locality conditions
Li Guo, Shanghua Zheng
The notion of locality semigroups was recently introduced with motivation from locality in convex geometry and quantum field theory. We show that there is a natural correspondence…
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…