Algorithm for finding the regular representation of a group ↩

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created: 2021-10-18 20:45:56
modified: 2022-01-10 04:13:04

finite group, its regular representation is with .

  1. Order the elements of the Group.
  2. Take the multiplication table of the Group in that order and look at 's row.
  3. Go through 's row in the order of the Group elements and make the th row's th number into a in the matrix.

Example: Regular representation of the C₃ᵥ point group