Lie-Kolchin theorem
= Lie-Kolchin theorem
{c}
{wiki=Lie–Kolchin_theorem}
Over an <algebraically closed field>, every connected solvable affine algebraic <subgroup> of $\operatorname{GL}(V)$ preserves a complete flag in $V$, equivalently it is conjugate to a <subgroup> of the upper triangular <matrices>.