Signed enumeration of ribbon tableaux: an approach through growth diagrams

DOI10.1007/s10801-011-0324-2zbMath1245.05133arXiv0911.3381OpenAlexW2051318795WikidataQ60691989 ScholiaQ60691989MaRDI QIDQ438737

Philippe Nadeau, Dominique Gouyou-Beauchamps

Publication date: 31 July 2012

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

Full work available at URL: https://arxiv.org/abs/0911.3381

zbMATH Keywords

Murnaghan-Nakayama ruleRSK correspondencegrowth diagramsGarsia-Milne involution principleribbon tableaux

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10)

Uses Software

• OEIS

Cites Work

• A bijection proving orthogonality of the characters of \(S_ n\)
• Robinson-Schensted algorithms for skew tableaux
• The Cauchy identity for \(Sp(2n)\)
• A Schensted algorithm for rim hook tableaux
• Shifted tableaux, Schur q-functions, and a conjecture of R. Stanley
• A Rogers-Ramanujan bijection
• Edge sequences, ribbon tableaux, and an action of affine permutations
• Applied finite group actions.
• Duality of graded graphs
• Schensted algorithms for dual graded graphs
• A geometric version of the Robinson-Schensted correspondence for skew oscillating tableaux
• Color-to-spin ribbon Schensted algorithms
• The Robinson-Schensted correspondence for skew oscillating tableaux
• The connection between the Robinson-Schensted correspondence for skew oscillating tableaux and graded graphs
• Schur operators and Knuth correspondences
• Longest Increasing and Decreasing Subsequences
• Differential Posets
• Method for constructing bijections for classical partition identities
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