Séminaire Lotharingien de Combinatoire, B44g (2000), 9 pp.
Frédéric Jouhet and Jiang Zeng
Généralisation de Formules de Type Waring
We evaluate the symmetric functions ek,
hk and pk on the
by elementary methods and give the related generating functions.
Our formulas lead to a new and short proof of an ex-conjecture of Lassalle
[J. Combin. Theory, Series A 89 (2000), 270-288], which was
proved by Lascoux and Lassalle [Math. Annalen, to appear]
in the framework of \lambda-rings theory.
Received: August 14, 2000; Accepted: December 1, 2000.
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