3 papers
math.RA2024
Generalized Reynolds algebras from Volterra integrals and their free construction by complete shuffle product
Li Guo, Richard Gustavson, Yunnan Li
This paper introduces algebraic structures for Volterra integral operators with separable kernels, in the style of differential algebra for derivations and Rota-Baxter algebra for…
math.QA2021
Crossed homomorphisms and Cartier-Kostant-Milnor-Moore theorem for difference Hopf algebras
Li Guo, Yunnan Li, Yunhe Sheng +1
The celebrated Milnor-Moore theorem and the more general Cartier-Kostant-Milnor-Moore theorem establish close relationships of a connected and a pointed cocommutative Hopf algebra…
math.CO2016
The distance spectra of the derangement graphs
Yunnan Li, Huiqiu Lin
In this paper, we consider the distance spectra of the derangement graphs. First we give a constructive proof that the connected derangement graphs are of diameter 2. Then we obtai…