Lie Groups pp 51-55 | Cite as

The Exponential Map

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


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.


Vector Field Integral Curve Jacobi Identity Ring Homomorphism Geometric Origin 
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  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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