(\(q,t\))-deformations of multivariate hook product formulae

DOI10.1007/s10801-010-0221-0zbMath1228.05048arXiv0909.0086OpenAlexW2046667369MaRDI QIDQ604826

Soichi Okada

Publication date: 12 November 2010

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0086

zbMATH Keywords

\(d\)-complete posetMacdonald symmetric functionsreverse plane partition\(P\)-partitionhook product formula

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Permutations, words, matrices (05A05) Combinatorics of partially ordered sets (06A07)

Related Items (4)

A new \(q\)-Selberg integral, Schur functions, and Young books ⋮ Multiplicative partition functions for reverse plane partitions derived from an integrable dynamical system ⋮ \(d\)-complete posets: local structural axioms, properties, and equivalent definitions ⋮ Skew hook formula for \(d\)-complete posets via equivariant \(K\)-theory

Cites Work

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• Combinatorial proofs of hook generating functions for skew plane partitions
• On free fermions and plane partitions
• The Hillman-Grassl correspondence and the enumeration of reverse plane partitions
• Dynkin diagram classification of \(\lambda\)-minuscule Bruhat lattices and of \(d\)-complete posets
• Minuscule elements of Weyl groups, the numbers game, and \(d\)-complete posets
• Rogers-Szegő polynomials and Hall-Littlewood symmetric functions
• A generalization of MacMahon’s formula
• Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
• Hall-Littlewood Plane Partitions and KP
• Ordered structures and partitions

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