I have the diminsions of V_i, but i need help with finding the character representation (part b) and the irreduciblt representation (part c)

Consider the action of the symmetric group Ss on the polynomial ring V = C(11, 12, 13] by permutation of indices. Since the S3 action respects the degree of a polynomial, we can decompose V as V=V, 1-0 where V, is the finite-dimensional subrepresentation of V spanned by all monomials of degree i. (b) (5 points) Find the characters of the representation V, for 0 Sis 4 (hint: consider monomials and count fixed points). (c) (10 points) Find the decomposition of V. into irreducible representations for 0