Eulerian Numbers, Foulkes Characters and Lefschetz Characters of the Symmetric Group
Séminaire lotharingien de combinatoire, Tome 08 (1983)
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},
year = {1983},
volume = {08},
url = {http://geodesic.mathdoc.fr/item/SLC_1983_08_a4/}
}
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/