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Special conformal transformation and inversions

  1. Jan 16, 2014 #1
    Question, within the conformal group of say standard euclidean space can the inversion be obtained by exponentiating the standard generators? Presumably it would be with some combination of translation and special conformal transformation in parallel directions but I'm not seeing how it can work out to an inversion. The special conformal transformation is defined using *two* inversions, while translations have none, so it would be a bit counterintuitive to get inversion by exponentiating those.
     
  2. jcsd
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