182 citations · 1.3k across the 103 of their papers we have counts for
105 papers
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…
Locality Galois groups of meromorphic germs in several variables
Li Guo, Sylvie Paycha, Bin Zhang
Meromorphic germs in several variables with linear poles naturally arise in mathematics in various disguises. We investigate their rich structures under the prism of locality, incl…
A Poincaré-Birkhoff-Witt theorem for the universal enveloping algebra of a Rota-Baxter Lie algebra
Zhi-Cheng Zhu, Xing Gao, Li Guo +1
Rota-Baxter associative algebras and Rota-Baxter Lie algebras are both important in mathematics and mathematical physics, with the former a basic structure in quantum field renorma…
Operated groups, differential groups and Rota-Baxter groups with an emphasis on the free objects
Xing Gao, Li Guo, Yanjun Liu +1
Groups with various types of operators, in particular the recently introduced Rota-Baxter groups, have generated renowned interest with close connections to numerical integrals, Ya…
Deformations and homotopy of Rota-Baxter operators and -operators on Lie algebras
Rong Tang, Chengming Bai, Li Guo +1
This article gives a brief introduction to some recent work on deformation and homotopy theories of Rota-Baxter operators and more generally -operators on Lie algebras…