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Unipotent elements in small characteristic

Author(s)
Lusztig, G
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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.
Date issued
2005-12
URI
https://hdl.handle.net/1721.1/140246
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Transformation Groups
Publisher
Springer Nature America, Inc
Citation
Lusztig, G. Unipotent elements in small characteristic. Transformation Groups 10, 449–487 (2005)
Version: Original manuscript
ISSN
1531-586X
1083-4362

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