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#cartan_decomposition

Cartan decomposition

Generalized matrix decomposition for Lie groups and Lie algebras

In mathematics, the 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 or singular value decomposition of matrices. Its history can be traced to the 1880s work of Élie Cartan and Wilhelm Killing.

Sun 18th

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Cartan decomposition Killing vector field Hermitian symmetric space Cartan subalgebra Lie group decomposition Complexification (Lie group) Iwasawa decomposition List of things named after Élie Cartan Real form (Lie theory) Maximal compact subgroup
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