The Green polynomials via vertex operators

DOI10.1016/j.jpaa.2022.107032OpenAlexW4206962435WikidataQ114155394 ScholiaQ114155394MaRDI QIDQ2134663

Ning Liu, Naihuan Jing

Publication date: 3 May 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.04411

zbMATH Keywords

Hall-Littlewood functionsvertex operatorsHecke algebraGreen's 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)

Related Items (4)

On irreducible characters of the Iwahori-Hecke algebra in type \(A\) ⋮ Spin Kostka polynomials and vertex operators ⋮ \(Q\)-Kostka polynomials and spin Green polynomials ⋮ Action of Virasoro operators on Hall-Littlewood polynomials

Cites Work

• Bitraces for \(\text{GL}_n(\mathbb{F}_q)\) and the Iwahori-Hecke algebra of type \(A_{n-1}\)
• Decomposition of Green polynomials of type \(A\) and Springer modules for hooks and rectangles.
• Green polynomials and singularities of unipotent classes
• Vertex operators and Hall-Littlewood symmetric functions
• A Frobenius formula for the characters of the Hecke algebras
• A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups
• Green polynomials and Hall-Littlewood functions at roots of unity
• An iterative formula for the Kostka-Foulkes polynomials
• The characters of the group GL(n, q)
• The Characters of the Finite General Linear Groups
• Hall–Littlewood polynomials at roots of 1 and modular representations of the symmetric group
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