On combinatorial models for affine crystals

zbMath1505.05158arXiv1911.10957MaRDI QIDQ2680896

Cristian Lenart, Adam Schultze

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/1911.10957

zbMATH Keywords

Kirillov-Reshetikhin crystalalcove modelKashiwara-Nakashima column

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• From Macdonald polynomials to a charge statistic beyond type \(A\)
• A uniform realization of the combinatorial \(R\)-matrix for column shape Kirillov-Reshetikhin crystals
• Schensted-type correspondence, plactic monoid, and jeu de taquin for type \(C_n\)
• Schensted-type correspondences and plactic monoids for types \(B_n\) and \(D_n\)
• A generalization of the alcove model and its applications
• A combinatorial model for crystals of Kac-Moody algebras
• A Uniform Model for Kirillov–Reshetikhin Crystals II. Alcove Model, Path Model, and $P=X$

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