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Generalized Tesler matrices, virtual Hilbert series, and Macdonald polynomial operators

We generalize previous definitions of Tesler matrices to allow negative matrix entries and non-positive hook sums. Our main result is an algebraic interpretation of a certain weighted sum over these matrices. Our interpretation uses <i>virtual Hilbert series</i>, a new class of symmetric function sp...

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Furkejuvvon:
Bibliográfalaš dieđut
Váldodahkki: Andrew Timothy Wilson
Materiálatiipa: Artigo
Giella:Inglês
Almmustuhtton: Discrete Mathematics & Theoretical Computer Science 2015-01-01
Ráidu:Discrete Mathematics & Theoretical Computer Science
Fáttát:
Liŋkkat:https://dmtcs.episciences.org/2489/pdf
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