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I want to have characters of some irreducible $S_n$-modules corresponding to certain partitions $\lambda$ of $n$, the computations using Frobenius formula get complicated and I am unable to find in standard text of representation theory of symmetric groups. Where I can find these in Litrature? More precisely I am more intereseted in the irreducible modules corresponding to partitions $(n-4,2,2)$ and $(n-4,2,1,1)$. Thank you in advance.

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    For general reference of the representation theory of symmetric groups, you can take a look at James, "Representation theory of the symmetric groups" or James, Kerber "Representation theory of the symmetric group". (Not the same book)2012-12-14
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    I have already seen the books you mentioned, but they do not help me much.2012-12-14
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    The standard reference is Fulton Harris 'Representation Theory - A First Course'. See in particular Chapter 4.2016-03-09

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