Eulerian Numbers, Foulkes Characters and Lefschetz Characters of the Symmetric Group
Séminaire lotharingien de combinatoire, Tome 08 (1983)
Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website
The aim of the paper is to point out a connection between the characters which Foulkes introduced to give a representation theoretical generalization of Eulerian numbers and certain Lefschetz characters of the symmetric group which Björner mentioned in a talk at an earlier Séminaire Lotharingien and which were described in detail by Stanley (J. Combinatorial Theory, Ser. A 32 (1982), 132-161). The missing link is a theorem on the irreducible constituents of Foulkes' characters.
@article{SLC_1983_08_a4,
author = {Adalbert Kerber and Karl-Joseph Th\"urlings},
title = {Eulerian {Numbers,} {Foulkes} {Characters} and {Lefschetz} {Characters} of the {Symmetric} {Group}},
journal = {S\'eminaire lotharingien de combinatoire},
publisher = {mathdoc},
volume = {08},
year = {1983},
url = {http://geodesic.mathdoc.fr/item/SLC_1983_08_a4/}
}
TY - JOUR AU - Adalbert Kerber AU - Karl-Joseph Thürlings TI - Eulerian Numbers, Foulkes Characters and Lefschetz Characters of the Symmetric Group JO - Séminaire lotharingien de combinatoire PY - 1983 VL - 08 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SLC_1983_08_a4/ ID - SLC_1983_08_a4 ER -
Adalbert Kerber; Karl-Joseph Thürlings. Eulerian Numbers, Foulkes Characters and Lefschetz Characters of the Symmetric Group. Séminaire lotharingien de combinatoire, Tome 08 (1983). http://geodesic.mathdoc.fr/item/SLC_1983_08_a4/