Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I am asked to decompose $S_3$ into its irreducible unitary representations, on $\mathbb{C}^6$.

I wonder how does this differ from analysis the given in the next paper?: (pages 50-51).


share|cite|improve this question

What you are asking for is a decomposition of the regular representation of $S_3$ (I suppose). The answer is, in general, that every possible irreducible representation occurs with the multiplicity equal to its dimension. So in this case the trivial and the sign representation both once, the two-dimensional irreducible representation (action on a triangle) twice.

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.