Identities and bases in the hypoplactic monoid

DOI10.1080/00927872.2021.1955901zbMath1494.20082arXiv2010.06953OpenAlexW3187468586MaRDI QIDQ5027488

Duarte Ribeiro, Alan J. Cain, António Malheiro

Publication date: 4 February 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.06953

zbMATH Keywords

identitiesvarietyequational basisaxiomatic rankhypoplactic monoid

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Combinatorial aspects of groups and algebras (05E16)

Related Items (7)

Representations and identities of plactic-like monoids ⋮ Finite basis problems for stalactic, taiga, sylvester and baxter monoids ⋮ Tropical representations and identities of the stylic monoid ⋮ Representations and identities of Baxter monoids with involution ⋮ Representations and identities of hypoplactic monoids with involution ⋮ Identities and bases in the Sylvester and Baxter monoids ⋮ Identities in twisted Brauer monoids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Crystallizing the hypoplactic monoid: from quasi-Kashiwara operators to the Robinson-Schensted-Knuth-type correspondence for quasi-ribbon tableaux
• The algebra of binary search trees
• On the axiomatic rank of varieties generated by a semigroup or monoid with one defining relation
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Identities in finitely generated semigroups of polynomial growth
• Noncommutative symmetric functions. IV: Quantum linear groups and Hecke algebras at \(q=0\)
• Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids
• Identities in upper triangular tropical matrix semigroups and the bicyclic monoid
• Tropical plactic algebra, the cloaktic monoid, and semigroup representations
• Algebraic and combinatorial structures on pairs of twin binary trees
• On the hypoplactic monoid
• Identities of the plactic monoid.
• Structure of Chinese algebras.
• Permutations, matrices, and generalized Young tableaux
• Crystal Bases
• Longest Increasing and Decreasing Subsequences
• Tropical representations and identities of plactic monoids
• Polyhedral convex cones and the equational theory of the bicyclic semigroup
• Word problems
• NONCOMMUTATIVE SYMMETRIC FUNCTIONS V: A DEGENERATE VERSION OF U_q(gl_N)
• Algebras, Lattices, Varieties
• REFLEXIVE RELATIONS, EXTENSIVE TRANSFORMATIONS AND PIECEWISE TESTABLE LANGUAGES OF A GIVEN HEIGHT
• THE CHINESE MONOID
• Combinatorial Algebra: Syntax and Semantics

This page was built for publication: Identities and bases in the hypoplactic monoid