Lie's Theorem for Solvable Connected Lie Groups Without the Continuity Assumption, Shtern A.Iстатья
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Аннотация:It is proved that if $G$ is a connected solvable group and $\pi$ is a (not necessarily continuous) representation of $G$ in a finite-dimensional vector space $E$, then there is a basis in~$E$ in which the matrices of the representation operators of $\pi$ have upper triangular form. The assertion is extended to connected solvable locally compact groups $G$ having a connected normal subgroup for which the quotient group is a Lie group.