Symplectic right keys -- type C Willis' direct way

zbMath1505.05150arXiv2104.15000MaRDI QIDQ2680957

João Miguel Santos

Publication date: 5 January 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.15000

zbMATH Keywords

direct wayright key mapsymplectic jeu de taquinsymplectic keys

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• A direct way to find the right key of a semistandard Young tableau
• An explicit construction of type A Demazure atoms
• Symplectic standard tableaux
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• Schensted-type correspondence, plactic monoid, and jeu de taquin for type \(C_n\)
• Crystal graphs and Young tableaux
• Colored five-vertex models and Demazure atoms
• Keys and Demazure crystals for Kac-Moody algebras
• A generalization of the alcove model and its applications
• A symplectic jeu de taquin bijection between the tableaux of King and of De Concini

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