Crystallizing the hypoplactic monoid: from quasi-Kashiwara operators to the Robinson-Schensted-Knuth-type correspondence for quasi-ribbon tableaux

DOI10.1007/s10801-016-0714-6zbMath1359.05135arXiv1601.06390OpenAlexW2263343498MaRDI QIDQ517358

Alan J. Cain, António Malheiro

Publication date: 23 March 2017

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06390

zbMATH Keywords

crystal graphRobinson-Schensted-Knuth correspondencehypoplacticKashiwara operatorquasi-ribbon tableau

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Free semigroups, generators and relations, word problems (20M05)

Related Items

Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids ⋮ Tropical representations and identities of the stylic monoid ⋮ Identities and bases in the Sylvester and Baxter monoids ⋮ Coherence for plactic monoids via rewriting theory and crystal structures ⋮ Crystals and trees: quasi-Kashiwara operators, monoids of binary trees, and Robinson-Schensted-type correspondences ⋮ A plactic algebra action on bosonic particle configurations ⋮ Identities and bases in the hypoplactic monoid

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