Abstract
Let G be a reductive connected algebraic group over an algebraically closed field of characteristic exponent p ≥ 1. One of the aims of this paper is to present a picture of the unipotent elements of G which should apply for arbitrary p and is as close as possible to the picture for p = 1. Another aim is the study of Bu, the variety of Borel subgroups of G containing a unipotent element u. It is known [Sp] that when p is a good prime, the l-adic cohomology spaces of Bu are pure. We would like to prove a similar result in the case where p is a bad prime. We present a method by which this can be achieved in a number of cases.
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Lusztig, G. Unipotent elements in small characteristic. Transformation Groups 10, 449–487 (2005). https://doi.org/10.1007/s00031-005-0405-1
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DOI: https://doi.org/10.1007/s00031-005-0405-1