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Computing Brauer character tables of groups of Lie type in defining characteristic

Presented by: 
Frank Lübeck
Date: 
Tuesday 28th January 2020 - 10:10 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
I will sketch how to compute Brauer character values of a group of Lie type in its defining characteristic. The method uses weight multiplicities of irreducible representation of the underlying algebraic group, parameterizations of semisimple conjugacy classes of the finite groups, and ad hoc arguments to relate the resulting table with the ordinary character table of the finite group.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons