2 papers
math.CO2025
Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors
Loic Foissy, Li Guo, Xiao-Song Peng +2
As a fundamental and ubiquitous combinatorial notion, species has attracted sustained interest, generalizing from set-theoretical combinatorial to algebraic combinatorial and beyon…
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…