Group Duality
Автор: Central European University
Загружено: 2014-11-25
Просмотров: 1440
Speaker: Pál Hegedűs
Abstract: I briefly explore the mathematical concept of duality and how it is fundamental in our algebraic thinking. Then I survey one particular instance of duality in the character theory of finite groups: the relation of irreducible characters and conjugacy classes.
This viewpoint of duality gives us a way to turn results upside down, I will show examples of this. Then I describe one potential way to extend this kind of duality to a structurally stronger one and how this project is limited. The talk will be based on two papers:
Andrus, Ivan; Hegedüs Pál: Determination of conjugacy class sizes from products of characters, Archiv der Mathematik (Basel) 100 no.1. (2013) 1-6.
Andrus, Ivan; Hegedüs Pál; Okuyama, Tetsuro: Transposable Character Tables, Dual Groups, Math Proc Cambridge Phil Soc 157 no 1. (2014) 31-44.
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