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I'm a student that wants to get to know Lie groups. I know a bit about manifolds and a bit about groups, but nothing about topological groups or such things. Can you suggest a textbook that covers the matter rather explicitly and in rather basic steps?

Stefan Hante
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  • You should tell us something about your bakgroun, an your goals! – kjetil b halvorsen Jul 21 '14 at 17:49
  • I'm doing numerical time integration on Lie groups and want to understand them better (or at all). The Campbell-Baker-Hausdorff formula is especially interesting (and its proof). – Stefan Hante Jul 21 '14 at 18:13
  • This is a good book- Lie Groups, Lie Algebras, and Representations: An Elementary Introduction By Brian Hall – Babai Jul 21 '14 at 18:57

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I recommend just reading the chapters in either Lee's "Introduction to Smooth Manifolds", or Loring Tu's "An introduction to manifolds", or both! This seems appropriate for your background and a good place to start.

JonHerman
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