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Lie Groups

  • Gerardo F. Torres del Castillo

Abstract

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.

Keywords

Vector Field Tangent Vector Structure Constant Local Coordinate System Integral Curve 
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. 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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