Here are notes which correspond to things that I said a couple of weeks ago, including some exercises. If anything needs rewording/etc, let me know.
Be sure to let me know what mistakes or gaps still remain.
* Not really “complete”.
The notes contain more detail on the standard representation of S3 and inter-relatedness (via characters) that arise between the different representations, their tensor products, direct sums and so on.
If anyone would like to download the pdf of my written materials, the dropbox link
Should work for that. I’ve rewritten it slightly from what I gave, namely removed the discussion of the proof of Theorem 1, given the mid term question. I’ve also fleshed out some of the material a bit more, but its still a bit bare.