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Reference.org
Isotropy representation
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<p>In differential geometry, the isotropy representation is a natural <a href="/facts/Linear_representation/3ydLtaGH">linear representation</a> of a <a href="/facts/Lie_group/a9jCQyjF">Lie group</a>, that is <a href="/facts/Lie_group_action/IIlu4h7M">acting</a> on a manifold, on the <a href="/facts/Tangent_space/crvpbSeG">tangent space</a> to a fixed point. </p>