Bender-Knuth involutions for types \(\mathrm{B}\) and \(\mathrm{C}\)

DOI10.37236/12571zbMath1543.0519MaRDI QIDQ6574400

Álvaro Gutiérrez

Publication date: 18 July 2024

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

zbMATH Keywords

insertion schemeKnuth-Schensted- Robinson algorithmorthogonal tableauxtype \(C\) Bender-Knuth involutions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33) Group actions on combinatorial structures (05E18)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Iterative properties of birational rowmotion. I: Generalities and skeletal posets.
• Orthogonal tableaux and an insertion algorithm for \(SO(2n+1)\)
• Binomial determinants, paths, and hook length formulae
• Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\)
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• Enumeration of plane partitions
• A symplectic jeu de taquin bijection between the tableaux of King and of De Concini
• Lattice path proofs for determinantal formulas for symplectic and orthogonal characters

This page was built for publication: Bender-Knuth involutions for types \(\mathrm{B}\) and \(\mathrm{C}\)