Construction of graded covariant \(GL(m/n)\) modules using tableaux

DOI10.1023/A:1022424304176zbMath0776.05099OpenAlexW48616678MaRDI QIDQ1204332

Trevor A. Welsh, Ronald C. King

Publication date: 15 March 1993

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

Full work available at URL: https://doi.org/10.1023/a:1022424304176

zbMATH Keywords

Young tableauxLie superalgebrasLie supergroupstensor modulesGarnir relations

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10)

Related Items (6)

Diamond cone for \({{\mathfrak{sl}}}(m,n)\) ⋮ Quantum immanants, double Young–Capelli bitableaux and Schur shifted symmetric functions ⋮ Construction of graded covariant \(GL(m/n)\) modules using tableaux ⋮ Jeu de taquin and diamond cone for Lie (super)algebras ⋮ Diamond cone for \(\mathfrak {sl}(m/1)\) ⋮ The weighted super Bergman kernels over the supermatrix spaces

Cites Work

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• Polynomial representations of \(GL_n\)
• Construction of graded covariant \(GL(m/n)\) modules using tableaux
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Kac–Dynkin diagrams and supertableaux
• Construction of Sp-modules by tableaux
• Diagram and superfield techniques in the classical superalgebras
• Dimension and character formulas for Lie supergroups
• Construction of orthogonal group modules using tableaux

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