# Week 8

## Session 1

### Pre-class exercises

Exercise:

Find the weight diagrams of $\Gamma_{3,0}$ and $\Gamma_{3,1}$ .

Exercise:

Decompose $\mathbf{C}^{3}\otimes\mathbf{C}^{3}$ into irreducible subrepresentations.

## Session 2

### Pre-class exercises

Exercise:

Find the weight diagram of $\mathbf{C}^{3}\otimes(\mathbf{C}^{3})^{*}$ and verify that it decomposes as $\Gamma_{1,1}\oplus\mathbf{C}$ as claimed.

## Optional extras

Strangeness minus 3 - a BBC Horizon documentary about the prediction and discovery of the Omega minus particle. Featuring interviews and discussion with Gell-Mann, Ne'eman and Feynman.