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Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg on the occasion of his 80th birthday
December 15, 2017 16:50, Moscow, Skolkovo Institute of Science and Technology, room 303


Towards a supercharacter theory for parabolic subgroups

A. Panov

University of Samara, Russia


https://youtu.be/L-TCfT9mtew

Abstract: A supercharacter theory is a system of characters of a finite group that afford a partition of the group obeying certain properties. The main example is the system of irreducible characters and the partition into conjugacy classes. For some groups, classification of irreducible characters turns out to be an extremely difficult problem. In this case, the main goal is to construct a supercharacter theory that is as close as possible to the theory of irreducible characters. In the talk, we present the supercharacter theories for certain unipotent and solvable groups, and for the parabolic subgroups in GL(n).

Language: English


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