A new Littlewood-Richardson rule for Schur 𝑃-functions

DOI10.1090/S0002-9947-2012-05653-4zbMath1262.05152OpenAlexW2034769610MaRDI QIDQ4915119

Soojin Cho

Publication date: 16 April 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2012-05653-4

zbMATH Keywords

shifted tableauxSchur \(P\)-functionsshifted Littlewood-Richardson coefficientssemistandard decomposition tableaux

Mathematics Subject Classification ID

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

Related Items (15)

Classification of \(Q\)-multiplicity-free skew Schur \(Q\)-functions ⋮ On the shifted Littlewood-Richardson coefficients and the Littlewood-Richardson coefficients ⋮ Crystal graphs for shifted tableaux ⋮ Shifted tableau switchings and shifted Littlewood-Richardson coefficients ⋮ Grothendieck rings of Queer Lie superalgebras ⋮ Queer supercrystal structure for increasing factorizations of fixed-point-free involution words ⋮ Littlewood-Richardson rule for generalized Schur Q-functions ⋮ Bijections among combinatorial models for shifted Littlewood-Richardson coefficients ⋮ Symplectic \(Q\)-functions ⋮ Crystals and Schur \(P\)-positive expansions ⋮ Crystal analysis of type \(C\) Stanley symmetric functions ⋮ Crystal analysis of type \(C\) Stanley symmetric functions ⋮ Crystals and Schur \(P\)-positive expansions ⋮ Toward a local characterization of crystals for the quantum queer superalgebra ⋮ A crystal-like structure on shifted tableaux

Cites Work

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• Quantum queer superalgebra and crystal bases
• On mixed insertion, symmetry, and shifted Young tableaux
• Shifted tableaux, Schur q-functions, and a conjecture of R. Stanley
• Shifted tableaux and the projective representations of symmetric groups
• Crystal bases of modified quantized enveloping algebra
• Littlewood-Richardson rules for Grassmannians
• Enumeration of plane partitions
• Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux
• The honeycomb model of $GL_n(\mathbb C)$ tensor products I: Proof of the saturation conjecture
• The honeycomb model of 𝐺𝐿_{𝑛}(ℂ) tensor products II: Puzzles determine facets of the Littlewood-Richardson cone
• Interpolation Analogs of Schur Q-Functions
• A concise proof of the Littlewood-Richardson rule
• The shifted plactic monoid

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