Abstract
In this chapter we introduce Lie algebras and show how a Lie group action on a manifold determines a vector field on the manifold for each element of the associated Lie algebra.
Keywords
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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2004 Stephanie Frank Singer
About this chapter
Cite this chapter
Singer, S.F. (2004). Infinitesimal Symmetries are Lie Algebras. In: Symmetry in Mechanics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0189-2_7
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0189-2_7
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-4145-0
Online ISBN: 978-1-4612-0189-2
eBook Packages: Springer Book Archive