University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar >  Action of automorphisms on irreducible characters of symplectic groups

Action of automorphisms on irreducible characters of symplectic groups

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Christopher Brookes.

In recent years a new approach has been developed to several long standing conjectures in the representation theory of finite groups; such as the McKay conjecture. These conjectures are stated for all finite groups but the recent approach has reduced these conjectures to checking certain conditions on quasisimple finite groups (often referred to as inductive conditions). This, in theory, makes the conjecture more manageable thanks to the classification of finite simple groups. However, the downside to this is that one requires information about how automorphisms act on the irreducible characters of quasisimple finite groups. In this talk we present new results in this direction concerning the finite symplectic groups Sp(2n,q) where q is an odd prime power. Specifically we completely describe the action of the automorphism group on the ordinary irreducible characters of these groups.

This talk is part of the Algebra and Representation Theory Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity