A new plethystic symmetric function operator and the rational compositional shuffle conjecture at \(t=1/q\)
type: Item
instance of: scholarly article
title: A new plethystic symmetric function operator and the rational compositional shuffle conjecture at \(t=1/q\)
zbMATH Open document ID: 1355.05254
author: Guoce Xin
author: Adriano M. Garsia
author: Emily Sergel Leven
author: Nolan Wallach
published in: Journal of Combinatorial Theory. Series A
publication date: 2017-02-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/1501.00631
Mathematics Subject Classification ID: 05E05
zbMATH DE Number: 6682585
zbMATH Keywords: parking function
zbMATH Keywords: shuffle conjecture
zbMATH Keywords: plethysm
MaRDI profile type: Publication
OpenAlex ID: W2962710165
arXiv ID: 1501.00631
Wikidata QID: Q123111299
cites work: Q4938570
cites work: Intertwining operators and polynomials associated with the symmetric group
cites work: From quasisymmetric expansions to Schur expansions via a modified inverse Kostka matrix
cites work: Shuffles of permutations and the Kronecker product
cites work: A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
cites work: Some natural bigraded \(S_ n\)-modules and \(q,t\)-Kostka coefficients
cites work: Explicit plethystic formulas for Macdonald \((q,t)\)-Kostka coefficients
cites work: Hall–Littlewood Operators in the Theory of Parking Functions and Diagonal Harmonics
cites work: Q5187293
cites work: Compactified Jacobians and \(q,t\)-Catalan numbers. I.
cites work: Compactified Jacobians and \(q,t\)-Catalan numbers. II
cites work: A combinatorial formula for the character of the diagonal coinvariants
cites work: A compositional shuffle conjecture specifying touch points of the Dyck path
cites work: Conjectures on the quotient ring by diagonal invariants
cites work: A simpler formula for the number of diagonal inversions of an \((m, n)\)-parking function and a returning fermionic formula
cites work: Q4399987
cites work: The elliptic Hall algebra, Cherednik Hecke algebras and Macdonald polynomials
cites work: The elliptic Hall algebra and the \(K\)-theory of the Hilbert scheme of \(\mathbb{A}^{2}\)
cites work: Chern-Simons invariants of torus links
cites work: A fast algorithm for MacMahon's partition analysis
cites work: A residue theorem for Malcev-Neumann series.
DOI: 10.1016/J.JCTA.2016.07.001
description: scientific article