\(B_ n\) Stanley symmetric functions

DOI10.1016/S0012-365X(96)83018-4zbMath0856.05095MaRDI QIDQ1924371

Tao Kai Lam

Publication date: 14 October 1996

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

symmetric functiontableauKraśkiewicz insertionpromotion sequence

Mathematics Subject Classification ID

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

Related Items (13)

Atoms for signed permutations ⋮ Balanced shifted tableaux ⋮ Bijections among combinatorial models for shifted Littlewood-Richardson coefficients ⋮ Giambelli, Pieri, and tableau formulas via raising operators ⋮ A Giambelli formula for classical 𝐺/𝑃 spaces ⋮ A Giambelli formula for isotropic Grassmannians ⋮ Affine Stanley symmetric functions for classical types ⋮ The shifted plactic monoid ⋮ Bialgebras for Stanley symmetric functions ⋮ Stanley symmetric functions for signed involutions ⋮ Stanley symmetric functions for signed involutions ⋮ Vexillary elements in the hyperoctahedral group ⋮ Transition equations for isotropic flag manifolds.

Cites Work

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• On mixed insertion, symmetry, and shifted Young tableaux
• On the number of reduced decompositions of elements of Coxeter groups
• Shifted tableaux, Schur q-functions, and a conjecture of R. Stanley
• Dual equivalence with applications, including a conjecture of Proctor
• Some combinatorial properties of Schubert polynomials
• Schubert polynomials and the nilCoxeter algebra
• Balanced tableaux
• La correspondance de Robinson
• Combinatorial 𝐵_{𝑛}-analogues of Schubert polynomials
• Schubert Polynomials for the Classical Groups

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