Combinatorics of certain higher \(q, t\)-Catalan polynomials: chains, joint symmetry, and the Garsia-Haiman formula
type: Item
instance of: scholarly article
title: Combinatorics of certain higher \(q, t\)-Catalan polynomials: chains, joint symmetry, and the Garsia-Haiman formula
zbMATH Open document ID: 1293.05007
author: Kyungyong Lee
author: Li Li
author: Nicholas A. Loehr
published in: Journal of Algebraic Combinatorics
publication date: 2014-06-27T00:00:00Z
full work available at URL: https://arxiv.org/abs/1211.2191
Mathematics Subject Classification ID: 05A10
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05E05
zbMATH DE Number: 6309045
zbMATH Keywords: \(q, t\)-Catalan polynomials
zbMATH Keywords: joint symmetry
zbMATH Keywords: lattice paths
Wikidata QID: Q57959202
MaRDI profile type: Publication
OpenAlex ID: W2052753052
arXiv ID: 1211.2191
cites work: Q4938570
cites work: A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
cites work: Compactified Jacobians and \(q,t\)-Catalan numbers. I.
cites work: Compactified Jacobians and \(q,t\)-Catalan numbers. II
cites work: Conjectured statistics for the \(q,t\)-Catalan numbers.
cites work: Q5440030
cites work: A combinatorial formula for the character of the diagonal coinvariants
cites work: \(t,q\)-Catalan numbers and the Hilbert scheme.
cites work: Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
cites work: Conjectured statistics for the higher \(q,t\)-Catalan sequences
cites work: A continuous family of partition statistics equidistributed with length
DOI: 10.1007/S10801-013-0466-5
description: scientific article