3 papers
math.RA2025
Multiple Rota-Baxter algebra and multiple Rota-Baxter modules
Jun He, Xiaosong Peng, Yi Zhang
In this paper, we develop the theory of multiple Rota-Baxter modules over multiple Rota-Baxter algebras. We introduce left, right, and bimodule structures and construct free -op…
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.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…