Identities and bases in the Sylvester and Baxter monoids

DOI10.1007/s10801-022-01202-6arXiv2106.00733OpenAlexW3167947387MaRDI QIDQ6185335

António Malheiro, Duarte Ribeiro, Alan J. Cain

Publication date: 8 January 2024

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

Full work available at URL: https://arxiv.org/abs/2106.00733

zbMATH Keywords

identitiesvarietyequational basisaxiomatic rankSylvester monoidBaxter monoid

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Algebraic combinatorics (05E99)

Related Items (1)

Representations and identities of Baxter monoids with involution

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Lattice congruences, fans and Hopf algebras.
• The algebra of binary search trees
• Polynomial representations of \(\text{GL}_n\). With an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker.
• On the axiomatic rank of varieties generated by a semigroup or monoid with one defining relation
• Hopf algebra of the planar binary trees
• 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
• Crystals and trees: quasi-Kashiwara operators, monoids of binary trees, and Robinson-Schensted-type correspondences
• Tropical plactic algebra, the cloaktic monoid, and semigroup representations
• Algebraic and combinatorial structures on pairs of twin binary trees
• Noncommutative symmetric functions
• On the hypoplactic monoid
• Representations and identities of plactic-like monoids
• Combinatorics of cyclic shifts in plactic, hypoplactic, Sylvester, Baxter, and related monoids
• Identities of the plactic monoid.
• Geometry and algorithms for upper triangular tropical matrix identities
• 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
• La correspondance de Robinson
• NONCOMMUTATIVE SYMMETRIC FUNCTIONS VI: FREE QUASI-SYMMETRIC FUNCTIONS AND RELATED ALGEBRAS
• ALGORITHMIC PROBLEMS IN VARIETIES
• Identities and bases in the hypoplactic monoid
• Identities of the Kauffman Monoid $$\mathcal {K}_4$$ and of the Jones Monoid $$\mathcal {J}_4$$
• Identities of the Kauffman monoid K3
• Combinatorial Algebra: Syntax and Semantics
• On Fixed Points of the Composite of Commuting Functions
• Finite basis problems for stalactic, taiga, sylvester and baxter monoids

This page was built for publication: Identities and bases in the Sylvester and Baxter monoids