The Stanely-F\'eray-\'Sniady formula for the generalized characters of the Symmetric Group
Abstract
We show that the explicit formula of Stanley-F\'eray-\'Sniady for the characters of the symmetric group have a natural extension to the generalized characters. These are the spherical functions of the unbalanced Gel'fand pair (Sn× Sn-1,diagSn-1).
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