\(Q\)-Kostka polynomials and spin Green polynomials

DOI10.1007/s00605-023-01843-0OpenAlexW4327914010MaRDI QIDQ2699870

Naihuan Jing, Ning Liu, Anguo Jiang

Publication date: 19 April 2023

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.07439

zbMATH Keywords

Hall-Littlewood polynomialsKostka polynomialsprojective charactersSchur's \(Q\)-polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Vertex operators; vertex operator algebras and related structures (17B69)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vertex operators, symmetric functions, and the spin group \(\Gamma_ n\)
• Shifted tableaux, Schur q-functions, and a conjecture of R. Stanley
• Shifted tableaux and the projective representations of symmetric groups
• Vertex operators and Hall-Littlewood symmetric functions
• A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups
• Schur \(Q\)-functions and spin characters of symmetric groups. I
• Hall-Littlewood functions and Kostka-Foulkes polynomials in representation theory
• Spin Kostka polynomials
• The Green polynomials via vertex operators
• An iterative formula for the Kostka-Foulkes polynomials
• The characters of the group GL(n, q)
• The Characters of the Finite General Linear Groups
• Spin Kostka polynomials and vertex operators

This page was built for publication: \(Q\)-Kostka polynomials and spin Green polynomials