Hopf Algebra of Digraphs

Student: Bilich Daria

Educational Programme: Mathematics (Bachelor)

Year of Graduation: 2021

In this work we introduce a notion of F-polynomial for Feynman graphs. It is a generalization of B-polynomial defined earlier by Jordan Awan and Oliver Bernardi. The F-polynomial has four variables but it can be reduced to the B-polynomial in the absence of external edges. We consider various properties of the polynomial and prove that neither B-polynomial nor F-polynomial are not homomorphisms of bialgebras.

Student Theses at HSE must be completed in accordance with the University Rules and regulations specified by each educational programme.

Summaries of all theses must be published and made freely available on the HSE website.

The full text of a thesis can be published in open access on the HSE website only if the authoring student (copyright holder) agrees, or, if the thesis was written by a team of students, if all the co-authors (copyright holders) agree. After a thesis is published on the HSE website, it obtains the status of an online publication.

Student theses are objects of copyright and their use is subject to limitations in accordance with the Russian Federation’s law on intellectual property.

In the event that a thesis is quoted or otherwise used, reference to the author’s name and the source of quotation is required.

Search all student theses