The Stanley-Féray-Śniady formula for the generalized characters of the symmetric group

@article{FabioScarabotti2011,
abstract = {We show that the explicit formula of Stanley-Féray-Śniady for the characters of the symmetric group has a natural extension to the generalized characters. These are the spherical functions of the unbalanced Gel’fand pair $(Sₙ × S_\{n-1\}, diag S_\{n-1\})$.},
author = {Fabio Scarabotti},
journal = {Colloquium Mathematicae},
keywords = {characters of symmetric groups; Gelfand pairs; spherical functions; generalized characters},
language = {eng},
number = {2},
pages = {285-291},
title = {The Stanley-Féray-Śniady formula for the generalized characters of the symmetric group},
url = {http://eudml.org/doc/283817},
volume = {124},
year = {2011},
}

TY - JOUR
AU - Fabio Scarabotti
TI - The Stanley-Féray-Śniady formula for the generalized characters of the symmetric group
JO - Colloquium Mathematicae
PY - 2011
VL - 124
IS - 2
SP - 285
EP - 291
AB - We show that the explicit formula of Stanley-Féray-Śniady for the characters of the symmetric group has a natural extension to the generalized characters. These are the spherical functions of the unbalanced Gel’fand pair $(Sₙ × S_{n-1}, diag S_{n-1})$.
LA - eng
KW - characters of symmetric groups; Gelfand pairs; spherical functions; generalized characters
UR - http://eudml.org/doc/283817
ER -