Russian
|
Sevostyanova Victoria Vladimirovna
assistant prof. (Department of Informatics and Computational Mathematics)
Faculty of Mechanics and Mathematics, Samara State University
E-mail: victoria.sevostyanova@gmail.com.
Phone: 7-846-334-54-38, Fax: 7-846-334-54-17.
Education
1998–2001: Samara Gymnasium №1
2001–2006: student at Samara State University;
supervisor: prof. Panov Aleksandr Nikolaevich;
diploma’s title "Orbital varieties";
specialities: Mathematics.
June 2006: Samara State University’s Honours Diploma.
November 2007–October 2010: graduate student at Samara State University.
March 28 2012: Ph. D. in Mathematics, St. Petersburg State University Ph.D. thesis: "Representations and invariants of the unitriangular group"
Supervisor: prof. Aleksandr Nikolaevich Panov;
reports by Nikolai Aleksandrovich Vavilov and Ivan Vladimirivich Arzhantsev.
|
General results
- The field of invariants of the adjoint action of the unitriangular and the triangular groups
in the nilradical of any parabolic subalgebra is described.
- The algebra of invariants of the adjoint action of the unitriangular group
in the nilradical of a parabolic subalgebra is studied.
- We have the sufficient condition, when the algebra of invariants of the adjoint action of the unitriangular group
in the nilradical of a parabolic subalgebra is a free algebra.
- We describe orbits of the adjoint action of the unitriangular group ut(n,C) and orbital variaties in ut(n,C) for n<7.
Publications: | pdf |
CV: | pdf |
Teaching Experience: | pdf |