Deformation of Cayley's hyperdeterminants

DOI10.37236/8091zbMath1441.05233arXiv2006.02025OpenAlexW3033567147MaRDI QIDQ2188842

Naihuan Jing, Tommy Wuxing Cai

Publication date: 15 June 2020

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.02025

zbMATH Keywords

Hankel determinantMatsumoto's formula for Jack functions

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Determinants, permanents, traces, other special matrix functions (15A15) Vertex operators; vertex operator algebras and related structures (17B69)

Cites Work

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• Macdonald symmetric functions of rectangular shapes
• On vertex operator realizations of Jack functions
• Hyperdeterminantal expressions for Jack functions of rectangular shapes
• Hankel hyperdeterminants, rectangular Jack polynomials and even powers of the Vandermonde
• Alternating sign matrices and descending plane partitions
• Determinants and alternating sign matrices
• Quantum hyperdeterminants and hyper-Pfaffians
• A formula for \(n\)-row Macdonald polynomials
• Jack vertex operators and realization of Jack functions
• Inversion of the Pieri formula for Macdonald polynomials
• Statistical Theory of the Energy Levels of Complex Systems. I
• A q-analogue of Catalan Hankel determinants

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