Abstract
Definition and examples. A Lie group G is both a C ∞ manifold and a group, the map \( (x, y) \mapsto\,{{xy}^{-1}}\, {\rm from\,} G\,{\times} \,G\,{{\rm to\, }}G\,{{\rm having \,to\, be\,}}{{C}^{\infty}}\).
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© 2015 Springer International Publishing Switzerland
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Godement, R. (2015). SL 2(ℝ) as a Lie Group. In: Analysis IV. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-16907-1_17
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DOI: https://doi.org/10.1007/978-3-319-16907-1_17
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16906-4
Online ISBN: 978-3-319-16907-1
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