List of Lie Groups Topics - Foundational Results

Foundational Results

  • One-parameter group, One-parameter subgroup
  • Matrix exponential
  • Infinitesimal transformation
  • Lie's third theorem
  • Maurer-Cartan form
  • Cartan's theorem
  • Cartan's criterion
  • Local Lie group
  • Formal group law
  • Hilbert's fifth problem
  • Hilbert-Smith conjecture
  • Lie group decompositions
  • Real form (Lie theory)

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