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Lie Groups and Lie Algebras I pp 210–229Cite as

Actions of Lie Groups on Low-dimensional Manifolds

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Part of the Encyclopaedia of Mathematical Sciences book series (EMS,volume 20)

Abstract

This section is devoted to results on classification of analytic local actions of Lie groups on open subsets of the spaces ℝn and ℂn for small n. In the cases n = 1, 2 the classification was already obtained by Lie (see, for example, Vladimirov 1979, Chebotarev 1940).

Keywords

  • Homogeneous Space
  • Transformation Group
  • Transitive Action
  • Homogeneous Manifold
  • English Trans

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.

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    A. L. Onishchik

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Onishchik, A.L. (1993). Actions of Lie Groups on Low-dimensional Manifolds. In: Onishchik, A.L. (eds) Lie Groups and Lie Algebras I. Encyclopaedia of Mathematical Sciences, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57999-8_12

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