Symmetric group characters as symmetric functions (extended abstract)

arXiv: Combinatorics, 2015.

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Abstract:

The irreducible characters of the symmetric group are a symmetric polynomial in the eigenvalues of a permutation matrix. They can therefore be realized as a symmetric function that can be evaluated at a set of variables and form a basis of the symmetric functions. basis of the symmetric functions is of non-homogeneous degree and the (out...More

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