7 papers
The Diagrammar of Quantum Magnusian
Li Guo, Joon-Hwi Kim, Jung-Wook Kim +3
The logarithm of the time-evolution operator has been termed Magnusian, on account of the fact that its expansion describes the Magnus series. The diagrammatic expansion and comput…
Para-differential Rota-Baxter algebras and their free objects by Gröbner-Shirshov bases
Li Guo, Aniruddha Talele, Shilong Zhang +1
The algebraic formulation of the derivation and integration related by the First Fundamental Theorem of Calculus (FFTC) gives rise to the notion of differential Rota-Baxter algebra…
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
Two aspects on the important notion of pre-Lie algebras are pre-Lie bialgebras (or left-symmetric bialgebras) with motivation from para-Kähler Lie algebras, and Nijenhuis operator…
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…