Complete reducibility in exceptional algebraic groups : the good, the bad and the ugly

Adam Thomas (Bristol)

Frank Adams 1,

The notion of complete reducibility was introduced by J. P. Serre in 1998. It generalises the notion of a completely reducible module in classical representation theory. After giving an introduction to complete reducibility for algebraic groups, we discuss recent and ongoing work with A. Litterick on classifying the subgroups of exceptional algebraic groups that are not completely reducible. The techniques used are a mix of standard representation theory, non-abelian cohomology and computational group theory.

Import this event to your Outlook calendar
▲ Up to the top