Projection maps for tensor products of \({\mathfrak g\mathfrak l}(r,\mathbb{C})\)- representations

DOI10.2977/prims/1195167734zbMath0830.17004OpenAlexW2003962540MaRDI QIDQ1328897

Daniel Britten, F. W. Lemire, Georgia M. Benkart

Publication date: 8 August 1994

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195167734

zbMATH Keywords

tensor productsrepresentationshighest weight vectorsLittlewood- Richardson rule

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46)

Related Items

Simple A₂-modules with a finite dimensional weight space ⋮ Derangements and tensor powers of adjoint modules for \(\mathfrak{sl}_n\)

Cites Work

• The representation theory of the symmetric groups
• On Schensted's construction and the multiplication of Schur functions
• On centralizer rings and characters of representations of finite groups
• Stability in modules for classical Lie algebras—a constructive approach
• La correspondance de Robinson
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