List of Lie Groups Topics - Examples

Examples

See Table of Lie groups for a list

  • General linear group, special linear group
    • SL2(R)
    • SL2(C)
  • Unitary group, special unitary group
    • SU(2)
    • SU(3)
  • Orthogonal group, special orthogonal group
    • Rotation group SO(3)
    • SO(8)
    • Generalized orthogonal group, generalized special orthogonal group
      • The special unitary group SU(1,1) is the unit sphere in the ring of coquaternions. It is the group of hyperbolic motions of the Poincaré disk model of the Hyperbolic plane.
      • Lorentz group
    • Spinor group
  • Symplectic group
  • Exceptional groups
    • G2
    • F4
    • E6
    • E7
    • E8
  • Affine group
  • Euclidean group
  • Poincaré group
  • Heisenberg group

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