Eulerian Numbers, Foulkes Characters and Lefschetz Characters of the Symmetric Group
Séminaire lotharingien de combinatoire, Tome 08 (1983)
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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/}
}
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
UR  - http://geodesic.mathdoc.fr/item/SLC_1983_08_a4/
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%0 Journal Article
%A Adalbert Kerber
%A Karl-Joseph Thürlings
%T Eulerian Numbers, Foulkes Characters and Lefschetz Characters of the Symmetric Group
%J Séminaire lotharingien de combinatoire
%D 1983
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%U http://geodesic.mathdoc.fr/item/SLC_1983_08_a4/
%F 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/