Shifted insertion algorithms for primed words

DOI10.5070/c63362797arXiv2104.11437OpenAlexW3158885935MaRDI QIDQ6204694

Eric Marberg

Publication date: 2 April 2024

Published in: Combinatorial Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.11437

zbMATH Keywords

Schur \(Q\)-functionsshifted tableauxEdelman-Greene insertionSagan-Worley insertionshifted mixed insertion

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Symmetric functions and generalizations (05E05)

Cites Work

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• \(K\)-theoretic analogues of factorial Schur \(P\)- and \(Q\)-functions
• Polynomials for \(\mathrm{GL}_p\times \mathrm{GL}_q\) orbit closures in the flag variety
• Shifted dual equivalence and Schur \(P\)-positivity
• A crystal-like structure on shifted tableaux
• \(K\)-theory formulas for orthogonal and symplectic orbit closures
• Chains in weak order posets associated to involutions
• On involutions in symmetric groups and a conjecture of Lusztig.
• On mixed insertion, symmetry, and shifted Young tableaux
• The Bruhat order on symmetric varieties
• Shifted tableaux, Schur q-functions, and a conjecture of R. Stanley
• Shifted tableaux and the projective representations of symmetric groups
• Involution words: counting problems and connections to Schubert calculus for symmetric orbit closures
• Dual filtered graphs
• Balanced tableaux
• Set-valued domino tableaux and shifted set-valued domino tableaux
• Bumping operators and insertion algorithms for queer supercrystals
• On some properties of symplectic Grothendieck polynomials
• A symplectic refinement of shifted Hecke insertion
• Fixed-point-free involutions and Schur \(P\)-positivity
• Shifted Hecke insertion and the \(K\)-theory of \(\mathrm{OG}(n,2n+1)\)
• Genomic tableaux
• Super RSK correspondence with symmetry
• \(K\)-theoretic Schubert calculus for \(OG(n,2n+1)\) and jeu de taquin for shifted increasing tableaux
• Atoms for signed permutations
• Enriched set-valued \(P\)-partitions and shifted stable Grothendieck polynomials
• Extending a word property for twisted Coxeter systems
• Pieri rules for the K-theory of cominuscule Grassmannians
• Combinatorics of Coxeter Groups
• Involution pipe dreams
• SUPER RSK-ALGORITHMS AND SUPER PLACTIC MONOID
• Schur $P$-positivity and Involution Stanley Symmetric Functions
• A word property for twisted involutions in Coxeter groups
• A color-to-spin domino Schensted algorithm
• On orbit closures of spherical subgroups in flag varieties.
• Queer supercrystal structure for increasing factorizations of fixed-point-free involution words