Affine Permutations and an Affine Catalan Monoid

DOI10.1007/978-1-4939-0938-4_15zbMath1434.05003OpenAlexW117637939MaRDI QIDQ5112367

Tom Denton

Publication date: 29 May 2020

Published in: Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-0938-4_15

zbMATH Keywords

pattern avoidanceaffine permutationsrank enumeration

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Semigroups of transformations, relations, partitions, etc. (20M20) Asymptotic enumeration (05A16)

Related Items (1)

On inversion triples and braid moves

Uses Software

• SageMath

Cites Work

• Categorification of the Catalan monoid.
• On the representation theory of finite \(J\)-trivial monoids
• Classical finite transformation semigroups. An introduction.
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• Some combinatorial properties of Schubert polynomials
• Noncommutative symmetric functions. IV: Quantum linear groups and Hecke algebras at \(q=0\)
• On 321-avoiding permutations in affine Weyl groups
• Double Catalan monoids
• Catalan monoids, monoids of local endomorphisms, and their presentations
• Canonical decompositions of affine permutations, affine codes, and split \(k\)-Schur functions
• Enumerating pattern avoidance for affine permutations
• Algebraic and affine pattern avoidance
• \(k\)-Schur functions and affine Schubert calculus
• Tableaux on \(k+1\)-cores, reduced words for affine permutations, and \(k\)-Schur expansions
• On Kiselman quotients of 0-Hecke monoids
• Combinatorics of Coxeter Groups
• Quivers of monoids with basic algebras
• Affine Stanley symmetric functions
• A diagrammatic approach to categorification of quantum groups I
• RC-Graphs and Schubert Polynomials
• Restricted permutations
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