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==The root datum of an algebraic group==
If ''G'' is a reductive algebraic group over a field ''K'' with a split maximal torus ''T'' then its '''root datum''' is a quadruple
:(''X''<sup>*</sup>, Δ, ''X''<sub>*</sub>, Δ<sup>v</sup>),
where
*''X''<sup>*</sup> is the lattice of characters of the maximal torus,
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