Séminaire Lotharingien de Combinatoire, 89B.27 (2023), 12 pp.
Jiyang Gao, Shiliang Gao and Yibo Gao
Balanced Shifted Tableaux
Abstract.
We introduce balanced shifted tableaux, as an analogue of balanced tableaux of Edelman and Greene, from the perspective of root systems of type $B$ and $C$. We show that they are equinumerous to standard Young tableaux of the corresponding shifted shape by presenting an explicit bijection.
Received: November 15, 2022.
Accepted: February 20, 2023.
Final version: April 1, 2023.
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