Schur function identities, their \(t\)-analogs, and \(k\)-Schur irreducibility

DOI10.1016/S0001-8708(03)00002-1zbMath1031.05129arXivmath/0111193MaRDI QIDQ1418002

Jennifer Morse, Luc Lapointe

Publication date: 6 January 2004

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

Full work available at URL: https://arxiv.org/abs/math/0111193

zbMATH Keywords

Schur functions\(k\)-Schur functionsVertex operators

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

Related Items (4)

A \(k\)-tableau characterization of \(k\)-Schur functions ⋮ Linear relations on LLT polynomials and their \(k\)-Schur positivity for \(k=2\) ⋮ \(k\)-Schur expansions of Catalan functions ⋮ Schur function analogs for a filtration of the symmetric function space

Uses Software

• ACE

Cites Work

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• Vertex operators and Hall-Littlewood symmetric functions
• Inhomogeneous lattice paths, generalized Kostka polynomials and \(A_{n-1}\) supernomials
• Schur function analogs for a filtration of the symmetric function space
• Tableau atoms and a new Macdonald positivity conjecture
• Graded characters of modules supported in the closure of a nilpotent conjugacy class
• Hilbert schemes, polygraphs and the Macdonald positivity conjecture
• A graded representation model for Macdonald's polynomials.
• A cyclage poset structure for Littlewood-Richardson tableaux
• Hall-Littlewood vertex operators and generalized Kostka polynomials

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