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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A classification of unipotent spherical conjugacy classes in bad characteristic


Author: Mauro Costantini
Journal: Trans. Amer. Math. Soc. 364 (2012), 1997-2019
MSC (2010): Primary 20G15, 20E45
Published electronically: November 17, 2011
MathSciNet review: 2869197
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Abstract: Let $ G$ be a simple algebraic group over an algebraically closed field $ k$ of bad characteristic. We classify the spherical unipotent conjugacy classes of $ G$. We also show that if the characteristic of $ k$ is 2, then the fixed point subgroup of every involutory automorphism (involution) of $ G$ is a spherical subgroup of $ G$.


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Mauro Costantini
Affiliation: Dipartimento di Matematica Pura ed Applicata, Università degli Studi di Padova, Torre Archimede, via Trieste 63, 35121 Padova, Italy
Email: costantini@math.unipd.it

DOI: http://dx.doi.org/10.1090/S0002-9947-2011-05390-0
PII: S 0002-9947(2011)05390-0
Received by editor(s): January 1, 2010
Received by editor(s) in revised form: April 23, 2010, and May 28, 2010
Published electronically: November 17, 2011
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.