A new tableau representation for supersymmetric Schur functions

DOI10.1006/jabr.1994.1361zbMath0840.20008OpenAlexW2032817839MaRDI QIDQ1340450

Curtis Greene, Ian P. Goulden

Publication date: 19 December 1994

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1994.1361

zbMATH Keywords

skew tableauxsupersymmetric functionsBender-Knuth algorithmring of symmetric polynomialssupersymmetric skew Schur functions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Superalgebras (17A70)

Related Items (29)

A Littlewood-Richardson rule for factorial Schur functions ⋮ Littlewood-Richardson polynomials ⋮ The skew Schubert polynomials ⋮ Schubert classes in the equivariant cohomology of the Lagrangian Grassmannian ⋮ Equivariant Schubert calculus and jeu de taquin ⋮ The Yang-Baxter equation, symmetric functions, and Schubert polynomials ⋮ Quantum immanants and higher Capelli identities ⋮ Irreducibility of induced supermodules for general linear supergroups ⋮ Colored fermionic vertex models and symmetric functions ⋮ Quantum immanants, double Young–Capelli bitableaux and Schur shifted symmetric functions ⋮ Stanley's zrank conjecture on skew partitions ⋮ Linear transformations of vertex operators of Hall-Littlewood polynomials ⋮ Determinantal and Pfaffian identities for ninthvariation skew Schur functions and \(Q\)-functions ⋮ Tokuyama's identity for factorial Schur \(P\) and \(Q\) functions ⋮ Equivariant Littlewood-Richardson skew tableaux ⋮ Factorial characters of the classical Lie groups ⋮ A generalization of the Littlewood-Richardson rule ⋮ Giambelli formulae for the equivariant quantum cohomology of the Grassmannian ⋮ The flagged double Schur function ⋮ Factorial supersymmetric skew Schur functions and ninth variation determinantal identities ⋮ Subtraction-free complexity, cluster transformations, and spanning trees ⋮ Lattice path constructions for orthosymplectic determinantal formulas ⋮ Unnamed Item ⋮ Factorial-type Schur functions, orthogonal rational functions, and discrete dressing chains ⋮ On Newton interpolation of symmetric functions: A characterization of interpolation Macdonald polynomials ⋮ SUPER RSK-ALGORITHMS AND SUPER PLACTIC MONOID ⋮ Identities on factorial Grothendieck polynomials ⋮ Combinatorial and algebraic enumeration: a survey of the work of Ian P. Goulden and David M. Jackson ⋮ QUANTUM SCHUBERT POLYNOMIALS AND QUANTUM SCHUR FUNCTIONS

This page was built for publication: A new tableau representation for supersymmetric Schur functions