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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

Degrees of irreducible representations

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 ] ]