Permutation patterns, Stanley symmetric functions, and generalized Specht modules

DOI10.1016/j.jcta.2014.05.003zbMath1300.05313arXiv1304.7870OpenAlexW2053622294MaRDI QIDQ406562

Brendan Pawlowski, Sara C. Billey

Publication date: 8 September 2014

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7870

zbMATH Keywords

Specht modulespattern avoidanceStanley symmetric functionsEdelman-Greene correspondence

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Related Items (8)

Determinantal formulas for SEM expansions of Schubert polynomials ⋮ Reduced word enumeration, complexity, and randomization ⋮ Coxeter combinatorics and spherical Schubert geometry ⋮ A representation-theoretic interpretation of positroid classes ⋮ Cohomology classes of interval positroid varieties and a conjecture of Liu ⋮ Reduced word manipulation: patterns and enumeration ⋮ Slide multiplicity free key polynomials ⋮ Combinatorial generation via permutation languages. I. Fundamentals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Upper bounds for the Stanley-Wilf limit of 1324 and other layered patterns
• The X-class and almost-increasing permutations
• Schubert polynomials and the Littlewood-Richardson rule
• On the number of reduced decompositions of elements of Coxeter groups
• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
• Specht series for skew representations of symmetric groups
• Borel-Weil theorem for configuration varieties and Schur modules
• Percentage-avoiding, northwest shapes and peelable tableaux
• Vexillary elements in the hyperoctahedral group
• Some combinatorial properties of Schubert polynomials
• Balanced labellings and Schubert polynomials
• Multiplicity-free products of Schur functions
• Balanced tableaux
• Combinatorial aspects of the Lascoux-Schützenberger tree
• Schubert functors and Schubert polynomials
• Reduced decompositions in Weyl groups
• Specht series for column-convex diagrams
• Plactification
• Counting matrices over finite fields with support on skew Young diagrams and complements of Rothe diagrams
• Reduced decompositions and permutation patterns
• Shape and pattern containment of separable permutations
• Presenting the cohomology of a Schubert variety
• Matching polytopes and Specht modules
• Multiplicity-Free Schubert Calculus

This page was built for publication: Permutation patterns, Stanley symmetric functions, and generalized Specht modules