Spin Kostka polynomials and vertex operators

DOI10.2140/pjm.2023.325.127zbMath1528.05071arXiv2303.10664MaRDI QIDQ6137571

Naihuan Jing, Ning Liu

Publication date: 4 September 2023

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.10664

zbMATH Keywords

vertex operatorsspin Kostka polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representations of finite symmetric groups (20C30) Vertex operators; vertex operator algebras and related structures (17B69) Projective representations and multipliers (20C25)

Related Items (1)

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

Cites Work

• 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
• On certain graded \(S_ n\)-modules and the \(q\)-Kostka polynomials
• Spin Kostka polynomials
• A duality of the twisted group algebra of the symmetric group and a Lie superalgebra
• Tensor square of the basic spin representations of Schur covering groups for the symmetric groups
• The Green polynomials via vertex operators
• An iterative formula for the Kostka-Foulkes polynomials
• THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS $ \mathfrak{Gl}(n,\,m)$ AND $ Q(n)$
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