Unipotent elements in small characteristic

Details Unipotent elements in small characteristic Unipotent elements in small characteristic

2005-03-31

arxiv.org/abs/math/0503739v2

Mathematics

Representation Theory

39 pages

Scientific paper

We make a study of unipotent elements in a connected reductive group over an algebraically closed field with emphasis on the case where the characteristic is a bad prime. We try to see how much of the theory of Dynkin-Kostant extends to this case. We also study the variety of Borel subgroups containing a unipotent element and prove a purity property for its cohomology in certain cases in bad characteristic.

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