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.
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© 2004 Stephanie Frank Singer
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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
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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