Construction of GL(n)modules using composite tableaux

DOI10.1080/03081089308818215zbMath0813.20048OpenAlexW2028303999MaRDI QIDQ4291685

Ronald C. King, Trevor A. Welsh

Publication date: 30 March 1995

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081089308818215

zbMATH Keywords

partitionirreducible representationLie algebraclassical groupsintegersmatrix representationsGarnir relationsstandard composite tableaux

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representation theory for linear algebraic groups (20G05) Integral representations of finite groups (20C10) Lie algebras of linear algebraic groups (17B45)

Related Items (1)

Hodge dual operators and model algebras for rational representations of the general linear group

Cites Work

• Rational tableaux and the tensor algebra of \(gl_ n\)
• Kronecker products for compact semisimple Lie groups
• Standard Young tableaux and weight multiplicities of the classical Lie groups
• Construction of Sp-modules by tableaux
• Generalized Young Tableaux and the General Linear Group
• On invariant theory under restricted groups

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