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Complete reducibility and Steinberg endomorphisms
G-complete reducibility Steinberg endomorphism Frobenius endomorphism
2011/2/28
Let G be a connected reductive algebraic group defined over an algebraically closed field of positive characteristic. We study a generalization of the notion of G-complete reducibility in the context ...
G-complete reducibility and the exceptional algebraic groups
G-complete reducibility the exceptional algebraic groups
2010/11/24
Let $G=G(K)$ be a simple algebraic group defined over an algebraically closed field $K$ of characteristic $p>0$. A subgroup $X$ of $G$ is said to be $G$-completely reducible if, whenever it is contai...
$G$-complete reducibility and semisimple modules
$G$-complete reducibility semisimple modules
2010/11/15
Let $G$ be a connected reductive algebraic group defined over an algebraically closed field %$k$ of characteristic $p > 0$. Our first aim in this note is to give concise and uniform proofs for two fu...