Geodesic
The Stanley–Féray–Śniady formula for the generalized characters of the symmetric group
Fabio Scarabotti1
1 Dipartimento SBAI-Sezione Matematica Università degli Studi di Roma “La Sapienza” via A. Scarpa 8 00161 Roma, Italy
Colloquium Mathematicum, Tome 124 (2011) no. 2, pp. 285-291.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $(S_n\times S_{n-1},\text{diag}\hskip1.5pt S_{n-1})$.
DOI : 10.4064/cm124-2-12
Keywords: explicit formula stanley ray niady characters symmetric group has natural extension generalized characters these spherical functions unbalanced gelfand pair times n text diag hskip n

Fabio Scarabotti 1

1 Dipartimento SBAI-Sezione Matematica Università degli Studi di Roma “La Sapienza” via A. Scarpa 8 00161 Roma, Italy 
@article{10_4064_cm124_2_12,
     author = {Fabio Scarabotti},
     title = {The {Stanley{\textendash}F\'eray{\textendash}\'Sniady} formula for the generalized characters of the symmetric group},
     journal = {Colloquium Mathematicum},
     pages = {285--291},
     publisher = {mathdoc},
     volume = {124},
     number = {2},
     year = {2011},
     doi = {10.4064/cm124-2-12},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm124-2-12/}
}
TY  - JOUR
AU  - Fabio Scarabotti
TI  - The Stanley–Féray–Śniady formula for the generalized characters of the symmetric group
JO  - Colloquium Mathematicum
PY  - 2011
SP  - 285
EP  - 291
VL  - 124
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm124-2-12/
DO  - 10.4064/cm124-2-12
LA  - en
ID  - 10_4064_cm124_2_12
ER  - 
%0 Journal Article
%A Fabio Scarabotti
%T The Stanley–Féray–Śniady formula for the generalized characters of the symmetric group
%J Colloquium Mathematicum
%D 2011
%P 285-291
%V 124
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm124-2-12/
%R 10.4064/cm124-2-12
%G en
%F 10_4064_cm124_2_12
Fabio Scarabotti. The Stanley–Féray–Śniady formula for the generalized characters of the symmetric group. Colloquium Mathematicum, Tome 124 (2011) no. 2, pp. 285-291. doi : 10.4064/cm124-2-12. http://geodesic.mathdoc.fr/articles/10.4064/cm124-2-12/

Cité par Sources :