3 papers
math.CO2024
Multi-quasisymmetric functions with semigroup exponents, Hopf algebras and Rota-Baxter algebras
Xing Gao, Li Guo, Xiao-Song Peng
Many years ago, G.-C.~Rota discovered a close connection between symmetric functions and Rota-Baxter algebras, and proposed to study generalizations of symmetric functions in the f…
math.QA2024
Rota-Baxter operators, differential operators, pre- and Novikov structures on groups and Lie algebras
Xing Gao, Li Guo, Zongjian Han +1
Rota-Baxter operators on various structures have found important applications in diverse areas, from renormalization of quantum field theory to Yang-Baxter equations. Relative Rota…
math.QA2024
Rota-Baxter groups with weight zero and integration on topological groups
Xing Gao, Li Guo, Zongjian Han
Rota-Baxter groups with weights have attracted quite much attention since their recent introduction, thanks to their connections with Rota-Baxter Lie algebras, factorizatio…