Geodesic
On a relation between certain character values of symmetric groups and its connection with creation operators of symmetric functions
Journal of Algebraic Combinatorics, Tome 41 (2015) no. 2, pp. 257-273.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

In this paper, we derive a relation of new kind between certain character values of symmetric groups in terms of the so-called maya diagrams. We also investigate a relation between our result and Bernstein's creation operators for Schur functions, and consider analogous relations for projective characters of symmetric groups through creation operators for Schur $Q$-functions. We also consider analogous relations for characters of Brauer algebras and walled Brauer algebras.
Classification : 05E10, 05E05, 20B30, 20C30
Keywords: symmteric groups, Murnaghan-Nakayama rule, symmetric functions, Brauer algebras 
@article{JAC_2015__41_2_a10,
     author = {Watanabe, Masaki},
     title = {On a relation between certain character values of symmetric groups and its connection with creation operators of symmetric functions},
     journal = {Journal of Algebraic Combinatorics},
     pages = {257--273},
     publisher = {mathdoc},
     volume = {41},
     number = {2},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2015__41_2_a10/}
}
TY  - JOUR
AU  - Watanabe, Masaki
TI  - On a relation between certain character values of symmetric groups and its connection with creation operators of symmetric functions
JO  - Journal of Algebraic Combinatorics
PY  - 2015
SP  - 257
EP  - 273
VL  - 41
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JAC_2015__41_2_a10/
LA  - en
ID  - JAC_2015__41_2_a10
ER  - 
%0 Journal Article
%A Watanabe, Masaki
%T On a relation between certain character values of symmetric groups and its connection with creation operators of symmetric functions
%J Journal of Algebraic Combinatorics
%D 2015
%P 257-273
%V 41
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JAC_2015__41_2_a10/
%G en
%F JAC_2015__41_2_a10
Watanabe, Masaki. On a relation between certain character values of symmetric groups and its connection with creation operators of symmetric functions. Journal of Algebraic Combinatorics, Tome 41 (2015) no. 2, pp. 257-273. http://geodesic.mathdoc.fr/item/JAC_2015__41_2_a10/