A Sundaram type bijection for \(\mathrm{SO}(3)\): vacillating tableaux and pairs of standard Young tableaux and orthogonal Littlewood-Richardson tableaux

zbMath1396.05118MaRDI QIDQ1784277

Judith Jagenteufel

Publication date: 26 September 2018

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

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v25i3p50

zbMATH Keywords

branching rulesspecial orthogonal groupsvacillating tableauxRiordan paths

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10)

Related Items (2)

Promotion on oscillating and alternating tableaux and rotation of matchings and permutations ⋮ A Sundaram type bijection for \(\mathrm{SO}(2k+1)\): vacillating tableaux and pairs consisting of a standard Young tableau and an orthogonal Littlewood-Richardson tableau

Cites Work

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• Super duality and crystal bases for quantum ortho-symplectic superalgebras. II
• Descent sets for symplectic groups
• Pieri rules for classical groups and equinumeration between generalized oscillating tableaux and semistandard tableaux
• Rational tableaux and the tensor algebra of \(gl_ n\)
• Bijections between oscillating tableaux and (semi)standard tableaux via growth diagrams
• Orthogonal tableaux and an insertion algorithm for \(SO(2n+1)\)
• A Schensted Algorithm Which Models Tensor Representations of the Orthogonal Group
• Combinatorial extension of stable branching rules for classical groups

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