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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Hlavní autor:	Andrew Timothy Wilson
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	Discrete Mathematics & Theoretical Computer Science 2015-01-01
Edice:	Discrete Mathematics & Theoretical Computer Science
Témata:	tesler matrices macdonald polynomials shuffle conjecture ordered set partitions [info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
On-line přístup:	https://dmtcs.episciences.org/2489/pdf
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