Characteristic Relationships Between the Infinitesimal Transformations of a Group

Lie, Sophus

doi:10.1007/978-3-662-46211-9_9

Sophus Lie²

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Abstract

In Chap. 3 and in Chap. 4 (Proposition 1, p. 41) it has been shown that to every \(r\)-term group, there belong \(r\) independent infinitesimal transformations which stand in a characteristic relationship to the group in question.

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Heidelberg, Germany
Sophus Lie

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Sophus Lie
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Laboratoire de Mathématiques, Université Paris-Sud 11 Faculté des Sciences d'Orsay, Orsay, France
Joël Merker

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Lie, S. (2015). Characteristic Relationships Between the Infinitesimal Transformations of a Group. In: Merker, J. (eds) Theory of Transformation Groups I. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46211-9_9

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DOI: https://doi.org/10.1007/978-3-662-46211-9_9
Published: 12 March 2015
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-46210-2
Online ISBN: 978-3-662-46211-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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