Séminaire Lotharingien de Combinatoire, B08e (1984), 6
pp.
[Formerly: Publ. I.R.M.A. Strasbourg, 1984, 229/S-08, p.
31-36.]
Adalbert Kerber and Karl-Joseph Thürlings
Eulerian Numbers, Foulkes Characters and
Lefschetz Characters of the Symmetric Group
Abstract.
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.
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