# Linear representation theory of special affine group:SA(2,3)

## Summary

Item Value
degrees of irreducible representations over a splitting field (such as $\mathbb{C}$ or $\overline{\mathbb{Q}}$) 1,1,1,2,2,2,3,8,8,8
grouped form: 1 (3 times), 2 (3 times), 3 (1 time), 8 (3 times)
number: 10, maximum: 8, lcm: 24, sum of squares: 216

## GAP implementation

### Degrees of irreducible representations

The degrees of irreducible representations can be determined using GAP's CharacterDegrees and SA functions (note the SA function is not in-built):

gap> CharacterDegrees(SA(2,3));
[ [ 1, 3 ], [ 2, 3 ], [ 3, 1 ], [ 8, 3 ] ]