Harmony of Walled Klein-4 Brauer Diagrams and Klein-4 Vacillating Tableaux
Harmony of Walled Klein-4 Brauer Diagrams and Klein-4 Vacillating Tableaux
Objectives: This study aims to establish the Robinson-Schensted correspondence for the walled Klein-4 Brauer algebra. We define a bijection between walled Klein-4 Brauer diagrams and pairs of Klein-4 vacillating tableaux, providing a combinatorial proof for a significant identity related to this algebra. Method: We construct the Robinson-Schensted correspondence using a …