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)


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.


Differentiable Manifold Local Derivation Positive Definite Quadratic Form Invariant Vector Field Real Vector Space Versus 
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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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