Toda Chains for Non Simply-laced Group Types

Student: Motorin Ivan

Educational Programme: Mathematics (Bachelor)

Final Grade: 8

Year of Graduation: 2020

This work is devoted to the Poisson structures, corresponding Toda integrable models and cluster-algebraic structure on Lie groups. We will give an explicit proof of the main theorem from work of V.Fock and A.Goncharov, find a class of automorphisms of Toda system and give some discussion about analogous system for co-extended loop groups. Our main tools for this research are variety of facts from Lie Theory and, of course, results of V.Drinfeld and E.Sklyanin

Full text (added May 30, 2020)

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