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Lie Groups pp 51-55 | Cite as

The Exponential Map

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

Abstract

The exponential map, introduced for closed Lie subgroups of \(\mathrm{GL}(n, \mathbb{C})\) in  Chap. 5, can be defined for a general Lie group G as a map Lie(G) → G.

Keywords

Vector Field Integral Curve Jacobi Identity Ring Homomorphism Geometric Origin 
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.

References

  1. 81.
    E. Ince. Ordinary Differential Equations. Dover Publications, New York, 1944.Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

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

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