3 papers
math.CO2021
Insertion and Lie Bracket Concerning Finite Sets
Mai Zhou
In this article we discuss the operations of partitions (sequence of disjoint finite subsets) which are quotient, insertion, composition and Lie bracket. Moreover, we discuss appli…
math-ph2020
Hopf Algebras Consisting of Finite Sets
Mai Zhou
In this article we generalise the structure of Connes-Kreimer Hpof algebra consisting of Feynmam diagrams to the situations of abstract finite sets, matrices and star product of sc…
math-ph2018
The deformation quantization of the scalar fields
Jie Wu, Mai Zhou
In this paper the deformation quantization is constructed in the case of scalar fields on Minkowski space-time. We construct the star products at three level concerning fields, Ham…