Find the weight diagrams of ${\mathrm{\Gamma}}_{3,0}$ and ${\mathrm{\Gamma}}_{3,1}$ .

# Week 8

## Session 1

### Pre-class videos

### Pre-class exercises

Exercise:

Exercise:

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

## Session 2

### Pre-class videos

### Pre-class exercises

Exercise:

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