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Basics of Manifolds and Classical Lie Groups: The Exponential Map, Lie Groups, and Lie Algebras

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Geometric Methods and Applications

Part of the book series: Texts in Applied Mathematics ((TAM,volume 38))

Abstract

This chapter is an introduction to manifolds, Lie groups, and Lie algebras.

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Authors and Affiliations

  1. Department of Computer and Information Science, University of Pennsylvania, 3330 Walnut Street, Philadelphia, PA, 19104, USA

    Jean Gallier

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  1. Jean Gallier
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Correspondence to Jean Gallier .

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Gallier, J. (2011). Basics of Manifolds and Classical Lie Groups: The Exponential Map, Lie Groups, and Lie Algebras. In: Geometric Methods and Applications. Texts in Applied Mathematics, vol 38. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9961-0_18

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