Ribbon tableaux, ribbon rigged configurations and Hall-Littlewood functions at roots of unity

DOI10.1016/j.jcta.2007.06.005zbMath1144.05071arXivmath/0701221OpenAlexW1974031666MaRDI QIDQ2426420

François Descouens

Publication date: 22 April 2008

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701221

zbMATH Keywords

rigged configurationinversion polynomialribbon tableaucocharge polynomialcospin polynomialdiagonal classHall-Littelwood functions

Mathematics Subject Classification ID

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

Uses Software

• MuPAD
• MuPAD-Combinat

Cites Work

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• New fermionic formula for unrestricted Kostka polynomials
• A Schensted algorithm for rim hook tableaux
• Green polynomials and Hall-Littlewood functions at roots of unity
• Branching formula for \(q\)-Littlewood--Richardson coefficients
• Character formulae of \(\widehat{\text{sl}}_n\)-modules and inhomogeneous paths
• A combinatorial formula for the character of the diagonal coinvariants
• MuPAD-Combinat, an open-source package for research in algebraic combinatorics
• Splitting the square of a Schur function into its symmetric and antisymmetric parts
• Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties
• Making Research on Symmetric Functions with MuPAD-Combinat

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