Hopf Algebras Consisting of Finite Sets

2020/06/21 by Zhou, Mai
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2006.11786

Abstract

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 scalar field, where the construction for the case of finite sets is essential.

Related

• On Feynman graphs as elements of a Hopf algebra
• Hopf algebras of diagrams
• Hopf algebras under finiteness conditions
• A nondiagrammatic description of the Connes-Kreimer Hopf algebra
• Hopf Algebras in General and in Combinatorial Physics: a practical introduction