Representations and identities of plactic-like monoids
From MaRDI portal
Publication:2144403
DOI10.1016/j.jalgebra.2022.04.033OpenAlexW3181828670MaRDI QIDQ2144403
Alan J. Cain, Mark Kambites, Marianne Johnson, António Malheiro
Publication date: 13 June 2022
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.04492
representationvarietiesplactic monoidtropical semiringsemigroup identitySylvester monoidBaxter monoidhypoplactic monoidstalactic monoidtaiga monoidupper triangular matrix semigroup
Varieties and pseudovarieties of semigroups (20M07) Algebraic combinatorics (05E99) Semifields (12K10) Semirings (16Y60) Representation of semigroups; actions of semigroups on sets (20M30)
Related Items
Tropical linear representations of the Chinese monoid, 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
- Plactic algebra of rank 3
- The algebra of binary search trees
- Equations and dot-depth one
- All varieties of regular orthogroups
- Commutative combinatorial Hopf algebras.
- On finite \(\mathcal J\)-trivial monoids
- The finiteness of a base of identities for five-element monoids
- Equations and monoid varieties of dot-depth one and two
- Noncommutative symmetric functions. IV: Quantum linear groups and Hecke algebras at \(q=0\)
- A combinatorial property for semigroups of matrices.
- Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids
- Identities in upper triangular tropical matrix semigroups and the bicyclic monoid
- Algebraic and combinatorial structures on pairs of twin binary trees
- On the hypoplactic monoid
- Identities of the plactic monoid.
- Irreducible representations of the plactic algebra of rank four
- Semigroup identities in the monoid of triangular tropical matrices.
- Algebraic and combinatorial structures on Baxter permutations
- Plactic Classification of Modes
- Tropical representations and identities of plactic monoids
- Identities of the Semigroup of Upper Triangular Tropical Matrices
- NONCOMMUTATIVE SYMMETRIC FUNCTIONS V: A DEGENERATE VERSION OF Uq(glN)
- The monoids of the patience sorting algorithm
- REFLEXIVE RELATIONS, EXTENSIVE TRANSFORMATIONS AND PIECEWISE TESTABLE LANGUAGES OF A GIVEN HEIGHT
- Identities and bases in the hypoplactic monoid
- A lattice of combinatorial Hopf algebras, Application to binary trees with multiplicities