Question: Prove this. Let V be a C G - module, and suppose that V = U 1 o + dotso + U r a direct

Prove this.

Let

V

be a

C G -

module, and suppose that

V = U_{1} o +

dotso

+ U_{r}

a direct sum of irreducible

C G -

modules

U_{i} .

Then the character of

V

is equal to the sum of the characters of the

C G -

modules

U_{1},

dots,

U_{r} .

Prove this. Let V be a C G - module, and suppose

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