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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Erdmann, K. and Wildon, M.J. (2006). Introduction to Lie Algebras (Springer, London).
Sattinger, D.H. and Weaver, O.L. (1986). Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics (Springer, New York).
Warner, F.W. (1983). Foundations of Differentiable Manifolds and Lie Groups (Springer, New York).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Torres del Castillo, G.F. (2012). Lie Groups. In: Differentiable Manifolds. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8271-2_7
Download citation
DOI: https://doi.org/10.1007/978-0-8176-8271-2_7
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-8270-5
Online ISBN: 978-0-8176-8271-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)