The Stanely-Féray-Śniady formula for the generalized characters of the Symmetric Group

Details The Stanely-Féray-Śniady formula for the generalized characters of the Symmetric Group The Stanely-Féray-Śniady formula for the generalized characters of the Symmetric Group

2011-03-05

arxiv.org/abs/1103.1041v1

Mathematics

Representation Theory

Scientific paper

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
$(S_n\times S_{n-1},\text{diag}S_{n-1})$.

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