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<p>of a <a href="page.php?w=linear_transformation">linear transformation</a> T on a vector space V, there is a one-dimensional space A ? V generated by the eigenvector such that T(A) = A, that is, A is an <a href="page.php?w=invariant_set">invariant set</a> under the action of T.</p>

<p>In <a href="page.php?w=Lie_theory">Lie theory</a>, a one-dimensional subspace of a <a href="page.php?w=Lie_algebra">Lie algebra</a> is mapped to a <a href="page.php?w=one-parameter_group">one-parameter group</a> under the <a href="page.php?w=Lie_group-Lie_algebra_correspondence">Lie group-Lie algebra correspondence</a>.</p><p>
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