University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > Representations of pseudo-reductive groups

Representations of pseudo-reductive groups

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  • UserDavid Stewart (Newcastle)
  • ClockWednesday 25 October 2017, 16:30-17:30
  • HouseMR12.

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

Pseudo-reductive groups are smooth connected linear algebraic groups over a field k whose k-defined unipotent radical is trivial. If k is perfect then all pseudo-reductive groups are reductive, but if k is imperfect (hence of characteristic p) then one gets a strictly larger collection of groups. They come up in a number of natural situations, not least when one wishes to say something about the simple representations of all smooth connected linear algebraic groups. Recent work by Conrad-Gabber-Prasad has made it possible to reduce the classification of the simple representations of pseudo-reductive groups to the split reductive case. I’ll explain how. This is joint work with Mike Bate and Ben Martin.

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

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