5 papers · 1 filter
Rota-Baxter operators on braces, post-braces and the Yang-Baxter equation
Li Guo, Yan Jiang, Yunhe Sheng +1
Combining the notions of braces and relative Rota-Baxter operators on groups in connection with the Yang-Baxter equation and a factorization theorem of Lie groups from integrable s…
Adjoint motives of modular forms and the Tamagawa number conjecture
Fred Diamond, Matthias Flach, Li Guo
Let be a newform of weight , level with coefficients in a number field , and the adjoint motive of the motive associated to . We carefully discuss th…
Nijenhuis pre-Lie bialgebras, Nijenhuis Lie bialgebras and \sss-equation
Li Guo, Tianshui Ma
We develop a bialgebraic framework for Nijenhuis operators on pre-Lie algebras and coalgebras. Starting from dual triangular pre-Lie bialgebras and weak pseudo-Hessian structures,…
Noncommutative Novikov bialgebras and differential antisymmetric infinitesimal bialgebras with weight
Shanghua Zheng, Yizhen Li, Liushuting Yang +1
This paper first develops a bialgebra theory for a noncommutative Novikov algebra, called a noncommutative Novikov bialgebra, which is further characterized by matched pairs and Ma…
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…