Finite convergent presentation of plactic monoid for type C

DOI10.1142/S0218196715500393zbMath1339.20048arXiv1412.0539MaRDI QIDQ3467629

Nohra Hage

Publication date: 4 February 2016

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0539

zbMATH Keywords

plactic monoidscrystal graphssymplectic tableauxfinite convergent presentations

Mathematics Subject Classification ID

Combinatorics in computer science (68R05) Free semigroups, generators and relations, word problems (20M05) Grammars and rewriting systems (68Q42)

Related Items (5)

Crystal monoids \& crystal bases: rewriting systems and biautomatic structures for plactic monoids of types \(A_{n}\), \(B_{n}\), \(C_{n}\), \(D_{n}\), and \(G_{2}\) ⋮ Super jeu de taquin and combinatorics of super tableaux of type A ⋮ Knuth's coherent presentations of plactic monoids of type A ⋮ Coherence for plactic monoids via rewriting theory and crystal structures ⋮ Crystallizing the hypoplactic monoid: from quasi-Kashiwara operators to the Robinson-Schensted-Knuth-type correspondence for quasi-ribbon tableaux

Cites Work

• Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
• Crystal graphs and \(q\)-analogues of weight multiplicities for the root system \(A_ n\)
• Cohomology rings of the plactic monoid algebra via a Gröbner–Shirshov basis
• Gröbner-Shirshov Bases for Plactic Algebras
• Higher-dimensional categories with finite derivation type
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