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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.

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References

  • Erdmann, K. and Wildon, M.J. (2006). Introduction to Lie Algebras (Springer, London).

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  • Sattinger, D.H. and Weaver, O.L. (1986). Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics (Springer, New York).

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  • Warner, F.W. (1983). Foundations of Differentiable Manifolds and Lie Groups (Springer, New York).

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Correspondence to Gerardo F. Torres del Castillo .

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© 2012 Springer Science+Business Media, LLC

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Torres del Castillo, G.F. (2012). Lie Groups. In: Differentiable Manifolds. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8271-2_7

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