Lie Groups

  • Gerardo F. Torres del CastilloEmail author


A Lie group is a group that possesses, in addition to the algebraic structure of a group, a differentiable manifold structure compatible with its algebraic structure in the sense that the group operations are differentiable functions.


Vector Field Tangent Vector Structure Constant Local Coordinate System Integral Curve 
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  1. Erdmann, K. and Wildon, M.J. (2006). Introduction to Lie Algebras (Springer, London). Google Scholar
  2. Sattinger, D.H. and Weaver, O.L. (1986). Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics (Springer, New York). Google Scholar
  3. Warner, F.W. (1983). Foundations of Differentiable Manifolds and Lie Groups (Springer, New York). Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Instituto de CienciasUniversidad Autónoma de PueblaPueblaMexico

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