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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