Stanley's zrank conjecture on skew partitions

DOI10.1090/S0002-9947-08-04342-0zbMath1145.05053arXivmath/0509181OpenAlexW2089144848WikidataQ122908447 ScholiaQ122908447MaRDI QIDQ3506711

Arthur L. B. Yang, William Y. C. Chen

Publication date: 17 June 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509181

zbMATH Keywords

rankfactorial Cauchy matrixgrankinverse binomial coefficient matrixrestricted Cauchy matrixZrank

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Determinants, permanents, traces, other special matrix functions (15A15)

Related Items (1)

Coincidences among skew Schur functions

Cites Work

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• Schur functions: Theme and variations
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• The zrank conjecture and restricted Cauchy matrices
• The factorial Schur function
• Inhomogeneous basis set of symmetric polynomials defined by tableaux.
• Probability density of the determinant of a random Hermitian matrix
• Calculation of some determinants using thes-shifted factorial
• A generalization of the Littlewood-Richardson rule
• On hooks of skew Young diagrams and bars in shifted diagrams
• The flagged double Schur function

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