Unipotent elements in small characteristic
Name
0503739.pdf
Description
Submitted version
Size
409 KB
Format
Adobe PDF
Checksum (MD5)
e73f9dfc11145110ca7e20a0f58b3e80
Author(s)
Lusztig, G
Date Issued
December 2005
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00031-005-0405-1
