A three shuffle case of the compositional parking function conjecture

DOI10.1016/j.jcta.2013.12.008zbMath1281.05127arXiv1208.5796OpenAlexW2113798073WikidataQ122928148 ScholiaQ122928148MaRDI QIDQ2434894

Guoce Xin, Michael Zabrocki, Adriano M. Garsia

Publication date: 31 January 2014

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5796

zbMATH Keywords

symmetric functionsMacdonald polynomialsparking functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Related Items (1)

The new dinv is not so new

Cites Work

• The case \(k=2\) of the shuffle conjecture
• Vertex operators and Hall-Littlewood symmetric functions
• A random \(q,t\)-hook walk and a sum of Pieri coefficients
• Explicit plethystic formulas for Macdonald \((q,t)\)-Kostka coefficients
• Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions
• A combinatorial formula for the character of the diagonal coinvariants
• A proof of the \(q,t\)-Catalan positivity conjecture
• A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
• Two Parking Function Bijections: A Sharpening of the q,t-Catalan and Shröder Theorems
• A Compositional Shuffle Conjecture Specifying Touch Points of the Dyck Path
• Proof of the 2-part compositional shuffle conjecture
• Hall–Littlewood Operators in the Theory of Parking Functions and Diagonal Harmonics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A three shuffle case of the compositional parking function conjecture