RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
Forthcoming seminars
Seminar calendar
List of seminars
Archive by years
Register a seminar

Search
RSS
Forthcoming seminars





You may need the following programs to see the files








Seminar on analytic theory of differential equations
December 28, 2016 15:00, Moscow, Steklov Mathematical Institute, Room 440 (8 Gubkina)
 


What is an indicator system?

D. V. Artamonov

Number of views:
This page:52

Abstract: D.P. Zhelobenko gave a realization of irreducible representaions of a simple Lie algebra as polynomial functions on the upper-triangular matrices that satisfy a system of PDE called the indicator system. This realization is very useful for investigating the branching of an irreducible representation under a restriction of the algebra. Using the procedure of restriction in the cases of $gl_n$ and $sp_{2n}$, Zhelobenko managed to construct a basis in an irreducible representation called the Gelfand-Tsetlin basis.
In the talk I will explain how one can solve the indicator system for different Lie algebras, how one can establish relations between solution spaces for different Lie algebras, and how using these relations one can construct a Gelfand-Tsetlin type basis.

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2017