Crystal analysis of type \(C\) Stanley symmetric functions

zbMath1369.05203MaRDI QIDQ5920072

Anne Schilling, Kirill Paramonov, Graham Hawkes

Publication date: 8 September 2017

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v24i3p51

zbMATH Keywords

Stanley symmetric functionscrystal basesKraśkiewicz insertionmixed Haiman insertionprimed tableauxunimodal tableaux

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items (11)

Candidate for the crystal \(B(-\infty)\) for the queer Lie superalgebra ⋮ Bijecting hidden symmetries for skew staircase shapes ⋮ Highest weight crystals for Schur \(Q\)-functions ⋮ Queer supercrystal structure for increasing factorizations of fixed-point-free involution words ⋮ Free action and cyclic sieving on skew semi-standard Young tableaux ⋮ Highest weight crystals for Schur \(Q\)-functions ⋮ Combinatorial Characterization of Queer Supercrystals (Survey) ⋮ Unnamed Item ⋮ Characterization of queer supercrystals ⋮ Bumping operators and insertion algorithms for queer supercrystals ⋮ Crystal structures for double Stanley symmetric functions

Cites Work

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• Balanced tableaux
• Reduced decompositions in Weyl groups
• A Littlewood-Richardson rule for dual stable Grothendieck polynomials
• Crystal Bases
• Crystal Approach to Affine Schubert Calculus
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• A new Littlewood-Richardson rule for Schur 𝑃-functions
• A simplified Kronecker rule for one hook shape
• A color-to-spin domino Schensted algorithm
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