Notes on the classification of complex Lie algebras

Notes on the classification of complex Lie algebras: An abstract finite-dimensional complex Lie algebra, or Lie algebra for short, is a finite-dimensional complex vector space together with an anti-symmetric bilinear form that obeys the Jacobi identity for all ; by anti-symmetry one can also rewrite the Jacobi identity as We will usually omit the subscript from the Lie bracket when this will not […]

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