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Pré-Publication, Document De Travail Année : 2024

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.
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Dates et versions

hal-04396050 , version 1 (15-01-2024)

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  • HAL Id : hal-04396050 , version 1

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Richard Kenyon, Maxim Kontsevich, Oleg Ogievetsky, Cosmin Pohoata, Will Sawin, et al.. The miracle of integer eigenvalues Dedicated to Professor A.M.Vershik, on the occasion of his 90-th birthday. 2024. ⟨hal-04396050⟩
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