A note on Schur-Weyl dualities for \(\mathrm{GL}(m)\) and \(\mathrm{GL}(m|n)\)

DOI10.1007/S10468-024-10290-WMaRDI QIDQ6624920

F. Marko

Publication date: 28 October 2024

Published in: Algebras and Representation Theory (Search for Journal in Brave)

zbMATH Keywords

general linear groupSchur-Weyl dualitiesgeneral linear supergroup

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05)

Cites Work

• Title not available (Why is that?)
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• A bideterminant basis for a reductive monoid
• Gradings on walled Brauer algebras and Khovanov's arc algebra
• Schur-Weyl duality over finite fields.
• On the modular representations of the general linear and symmetric groups
• A characteristic free approach to invariant theory
• Murphy bases of generalized Temperley-Lieb algebras
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Symmetric and exterior powers, linear source modules and representations of Schur superalgebras
• Deligne’s category \underline{𝑅𝑒}𝑝(𝐺𝐿_{𝛿}) and representations of general linear supergroups
• MIXED TENSOR REPRESENTATIONS AND RATIONAL REPRESENTATIONS FOR THE GENERAL LINEAR LIE SUPERALGEBRAS
• The rational Schur algebra
• Rational Schur Superalgebras

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