A determinantal formula for supersymmetric Schur polynomials

DOI10.1023/A:1025048821756zbMath1020.05070OpenAlexW1538261347MaRDI QIDQ1408258

E. M. Moens, Joris Van der Jeugt

Publication date: 15 September 2003

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025048821756

zbMATH Keywords

charactersdeterminantal identitiescovariant tensor representationsLie superalgebra \(\mathfrak{gl}(m/n)\)supersymmetric Schur polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

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Cites Work

• A characterization of supersymmetric polynomials
• The Pragacz identity and a new algorithm for Littlewood-Richardson coefficients
• On a Jacobi-Trudi identity for supersymmetric polynomials
• The theory of Lie superalgebras. An introduction
• Characters and composition factor multiplicities for the Lie superalgebra \({\mathfrak{gl}}(m/n)\)
• Advanced determinant calculus
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Ribbon Schur functions
• Representations of classical Lie superalgebras of type I
• Sergeev's formula and the littlewood—richardson rule
• Formulas for the Evaluation of Toeplitz Determinants with Rational Generating Functions
• Character formulas for irreducible modules of the Lie superalgebras sl(m/n)
• A character formula for singly atypical modules of the lie superalgebra sl(m/n)
• Lie superalgebras
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