4 papers · 1 filter
Extended (tri)dendriform algebras, pre-Lie algebras and post-Lie algebras as companion structures of extended Rota-Baxter algebras
Shanghua Zheng, Shiyu Huang, Li Guo
Under the common theme of splitting of operations, the notions of (tri)dendriform algebras, pre-Lie algebras and post-Lie algebras have attracted sustained attention with broad app…
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…
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…
Extended Rota-Baxter algebras, diagonally colored Delannoy paths and Hopf algebras
Shanghua Zheng, Li Guo, Huizhen Qiu
The Rota-Baxter operator and the modified Rota-Baxter operator on various algebras are both important in mathematics and mathematical physics. The former is originated from the int…