The miracle of integer eigenvalues Dedicated to Professor A.M.Vershik, on the occasion of his 90-th birthday
Résumé
For partially ordered sets X we consider the square matrices M X with rows and columns indexed by linear extensions of the partial order on X. Each entry M X P Q is a formal variable defined by a pedestal of the linear order Q with respect to linear order P. We show that all the eigenvalues of any such matrix M X are Z-linear combinations of those variables.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)