2 papers
math.CO2023
Noncommutative binomial theorem, shuffle type polynomials and Bell polynomials
Huan Jia, Yinhuo Zhang
In this paper we use the Lyndon-Shirshov basis to study the shuffle type polynomials. We give a free noncommutative binomial (or multinomial) theorem in terms of the Lyndon-Shirsho…
math.QA2023
Quotient Hopf algebras of the free bialgebra with PBW bases and GK-dimensions
Huan Jia, Naihong Hu, Rongchuan Xiong +1
Let be a field. We study the free bialgebra generated by the coalgebra and its quotient bialgebras (or Hopf algebras…