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

sopkina@yandex.ru

Submission: 2006, Mar 26

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

2000 Mathematics Subject Classification: 20G15, 20G35, 14L15

Keywords and Phrases: reductive groups, non-reduced affine group schemes

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