Plactification

DOI10.1023/A:1022434000967zbMath0922.05049OpenAlexW4254868039MaRDI QIDQ1898153

Mark Shimozono, Victor Reiner

Publication date: 24 September 1995

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

Full work available at URL: https://doi.org/10.1023/a:1022434000967

zbMATH Keywords

Specht modulesYoung tableauxSchubert polynomialsreduced wordsFerrers diagramsKnuth equivalencejeu-de-taquinRobinson-Schensted-Knuth correspondenceplactification

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Related Items (10)

A Demazure crystal construction for Schubert polynomials ⋮ Noncommutative LR coefficients and crystal reflection operators ⋮ Permutation patterns, Stanley symmetric functions, and generalized Specht modules ⋮ Four positive formulae for type \(A\) quiver polynomials ⋮ Relating Edelman-Greene insertion to the Little map ⋮ A representation-theoretic interpretation of positroid classes ⋮ Cohomology classes of interval positroid varieties and a conjecture of Liu ⋮ Percentage-avoiding, northwest shapes and peelable tableaux ⋮ Vexillary elements in the hyperoctahedral group ⋮ Diagram rules for the generation of Schubert polynomials

Cites Work

• Noncommutative Schubert polynomials
• On the number of reduced decompositions of elements of Coxeter groups
• On a bijection between Littlewood-Richardson fillings of conjugate shape
• The representation theory of the symmetric groups
• Specht series for skew representations of symmetric groups
• Some combinatorial properties of Schubert polynomials
• Key polynomials and a flagged Littlewood-Richardson rule
• Balanced tableaux
• Schubert functors and Schubert polynomials
• Specht series for column-convex diagrams
• Permutations, matrices, and generalized Young tableaux
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