The stylic monoid

DOI10.1007/s00233-022-10285-3OpenAlexW4281846588MaRDI QIDQ2163861

Antoine Abram, Christophe Reutenauer

Publication date: 11 August 2022

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.06556

zbMATH Keywords

partitionstableauxplactic monoidevacuation\(J\)-trivial\(J\)-orderstandard immaculate tableauxstylic monoid

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ordered semigroups and monoids (06F05) Ordered rings, algebras, modules (06F25) Algebraic monoids (20M32)

Related Items (max. 100)

Identities of the stylic monoid ⋮ Quivers of stylic algebras ⋮ Tropical representations and identities of the stylic monoid ⋮ Representations and identities of Baxter monoids with involution ⋮ Representations and identities of hypoplactic monoids with involution ⋮ Catalan monoids inherently nonfinitely based relative to finite \(\mathscr{R}\)-trivial semigroups ⋮ Grammic monoids with three generators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite Gröbner-Shirshov bases for plactic algebras and biautomatic structures for plactic monoids.
• New approaches to plactic monoid via Gröbner-Shirshov bases.
• The expansion of immaculate functions in the ribbon basis
• Partition algebras.
• Quasisymmetric Schur functions
• Noncommutative Bell polynomials and the dual immaculate basis
• Dual immaculate quasisymmetric functions expand positively into Young quasisymmetric Schur functions
• Multiplicative structures of the immaculate basis of non-commutative symmetric functions
• Permutations, matrices, and generalized Young tableaux
• Gröbner-Shirshov Bases for Plactic Algebras
• Longest Increasing and Decreasing Subsequences
• La correspondance de Robinson
• Algorithms for computing finite semigroups
• Dual Creation Operators and a Dendriform Algebra Structure on the Quasisymmetric Functions
• An Introduction to Quasisymmetric Schur Functions
• A Lift of the Schur and Hall–Littlewood Bases to Non-commutative Symmetric Functions
• Quelques remarques sur une Construction de Schensted.

This page was built for publication: The stylic monoid