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if the largest smooth connected unipotent normal subgroup of G is trivial. This normal subgroup is called the unipotent radical and is denoted R_u(G). (Some authors do not require reductive groups to be connected.) A group G over an arbitrary field k is called semisimple or reductive if the base change is semisimple or reductive, where is an algebraic closure of k. (This is equivalent

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