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1. A user friendly proof of Nagata's characterization of linearly reductive groups in positive characteristics.

Author

Kohls, Martin

Subjects
*GROUP theory, *LINEAR algebraic groups, *ALGEBRAIC varieties, *ALGEBRAIC geometry, *TORUS, *MATHEMATICAL analysis
Abstract

Let K be an algebraically closed field of positive characteristic p, and G be a linear algebraic group over K. We give a user friendly proof of Nagata's theorem that every finite-dimensional rational representation of G is completely reducible if and only if the connected component G0 is a torus and p does not divide the index (G : G0). [ABSTRACT FROM AUTHOR]

Published
2011
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