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Lie Groups pp 41-45 | Cite as

Left-Invariant Vector Fields

  • Daniel Bump
Part of the Graduate Texts in Mathematics book series (GTM, volume 225)

Abstract

To recapitulate, a Lie group is a differentiable manifold with a group structure in which the multiplication and inversion maps G × GG and GG are smooth. A homomorphism of Lie groups is a group homomorphism that is also a smooth map.

Keywords

Differentiable Manifold Local Derivation Positive Definite Quadratic Form Invariant Vector Field Real Vector Space Versus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Daniel Bump
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

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