• A
  • A
  • A
  • ABC
  • ABC
  • ABC
  • А
  • А
  • А
  • А
  • А
Regular version of the site

An Investigation of f-vectors of Gelfand-Zetlin Polytopes

Student: Melikhova Ekaterina

Supervisor: Vladlen Timorin

Faculty: Faculty of Mathematics

Educational Programme: Mathematics (Master)

Final Grade: 10

Year of Graduation: 2017

We obtain a recurrence relation for the f-polynomial of Gelfand——Zetlin polytopes by analyzing geometric properties of a linear projection of the Gelfand——Zetlin polytope onto a cube. We apply this recurrence relation to find explicit formulas for the f-polynomials of Gelfand——Zetlin polytopes that belong to several simplest one-parameter families.

Full text (added May 31, 2017)

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