Identities in character tables ofSn

DOI10.1080/10236198.2015.1081386zbMath1339.05012arXiv1507.03499OpenAlexW1917666966MaRDI QIDQ2804536

Amitai Regev, Doron Zeilberger, Alon Regev

Publication date: 29 April 2016

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.03499

zbMATH Keywords

partitionsYoung tableauRobinson-Schensted correspondencehook lengthcharacters of \(S_n\)

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial aspects of partitions of integers (05A17)

Related Items (1)

Coincidences between characters to hook partitions and 2-part partitions on families arising from 2-regular classes

Uses Software

• Maple
• OEIS
• MultiZeilberger
• Sn

Cites Work

• Unnamed Item
• A bijection proving orthogonality of the characters of \(S_ n\)
• Multi-variable Zeilberger and Almkvist-Zeilberger algorithms and the sharpening of Wilf-Zeilberger theory
• Symmetric functions and P-recursiveness
• A holonomic systems approach to special functions identities
• Asymptotic values for degrees associated with strips of Young diagrams
• Conjectures on the enumeration of tableaux of bounded height
• Longest Increasing and Decreasing Subsequences
• On the Representations of the Symmetric Group

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