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3 Cards in this Set
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Cartan decomposition
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Cartan decomposition is a decomposition of a semisimple Lie group or Lie algebra, which plays an important role in their structure theory and representation theory. It generalizes the polar decomposition of matrices.
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homologous to zero in G
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if winding number = 0 for all points not in G
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homotopic to zero in G
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if homotopic to a constant curve
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