Canonical Brauer induction and symmetric groups
Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 2, pp. 453-460

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Imitating the approach of canonical induction formulas we derive a formula that expresses every character of the symmetric group as an integer linear combination of Young characters. It is different from the well-known formula that uses the determinantal form.
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     title = {Canonical {Brauer} induction and symmetric groups},
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Boltje, Robert; Külshammer, Burkhard. Canonical Brauer induction and symmetric groups. Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 2, pp. 453-460. http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_2_a11/