The zrank conjecture and restricted Cauchy matrices

DOI10.1016/j.laa.2005.04.023zbMath1082.05096arXivmath/0504488OpenAlexW1969471574WikidataQ112882146 ScholiaQ112882146MaRDI QIDQ2575026

Arthur L. B. Yang, Joan J. Zhou, Guo-Guang Yan

Publication date: 5 December 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504488

zbMATH Keywords

skew partitionrankinterval setborder strip decompositionzrank

Mathematics Subject Classification ID

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

Related Items

Outside nested decompositions of skew diagrams and Schur function determinants, Stanley's zrank conjecture on skew partitions, Coincidences among skew Schur functions

Cites Work

• Unnamed Item
• Binomial determinants, paths, and hook length formulae
• On hooks of Young diagrams
• On irreducibility of tensor products of Yangian modules associated with skew Young diagrams
• The rank and minimal border strip decompositions of a skew partition
• Planar decompositions of tableaux and Schur function determinants
• On hooks of skew Young diagrams and bars in shifted diagrams