Combinatorics of \(q\), \(t\)-parking functions

DOI10.1016/j.aam.2004.08.002zbMath1060.05014OpenAlexW2090473884MaRDI QIDQ1775747

Nicholas A. Loehr

Publication date: 4 May 2005

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2004.08.002

zbMATH Keywords

Hilbert series\(q\)-analogueParking functionsDiagonal harmonics

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30)

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Cites Work

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• A combinatorial formula for the character of the diagonal coinvariants
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• Mappings of acyclic and parking functions
• A conjectured combinatorial formula for the Hilbert series for diagonal harmonics
• Hilbert schemes, polygraphs and the Macdonald positivity conjecture
• On an enumeration problem
• An Occupancy Discipline and Applications
• Generalized parking functions, tree inversions, and multicolored graphs