Unipotent elements in small characteristic |
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Authors: | G Lusztig |
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Institution: | (1) Department of Mathematics, MIT, Cambridge, MA 02139, USA |
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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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Keywords: | |
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