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Classification of all connected subgroup schemes of a reductive group containing a split maximal torus

Published online by Cambridge University Press:  23 July 2008

Ekaterina Sopkina
Ekaterina Sopkina
Affiliation:
Department of Mathematics and Mechanics, St. Petersburg University and Fakultät für Mathematik, Universität Bielefeld, [email protected].
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Abstract

The main result of the paper is a classification of all connected subgroup schemes of a reductive group containing a split maximal torus, over an arbitrary field. The classification is expressed in terms of functions on the root system.

Keywords

reductive groupnon-reduced affine group schemes
Type
Research Article
Information
Journal of K-Theory , Volume 3 , Issue 1 , February 2009 , pp. 103 - 122
Copyright
Copyright © ISOPP 2009

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