University of Sydney
School of Mathematics and Statistics
University of Kassel
Low-dimensional representations of quasi-simple groups
Friday 16th March, 12-1pm,
What are the finite subgroups of simple complex Lie groups G which act
irreducibly on all fundamental representations of G ?
In this talk, reporting on joint work with K. Magaard and P.H. Tiep,
we will show how this question can be solved using two
ingredients: the classification of finite simple groups,
and Lusztig's theory of characters of reductive groups.
With the same methods one can determine those irreducible complex
representations of finite simple groups, whose alternating or
symmetric square is again irreducible.