Skew Weyl modules for \(\text{GL}_n\) and degree reduction for Schur algebras

DOI10.1006/jabr.1999.8042zbMath0958.20006OpenAlexW1964949219MaRDI QIDQ1975149

Upendra Kulkarni

Publication date: 20 November 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.8042

zbMATH Keywords

tensor productsfunctorsskew Weyl moduleshigher Ext groupsHom groupsrings of symmetric functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05)

Related Items (5)

On the Ext groups between Weyl modules for \(\text{GL}_n\). ⋮ Intertwining numbers; The n-rowed shapes ⋮ On homomorphisms involving a hook Weyl module ⋮ Integral \(\mathrm{Ext}^2\) between hook Weyl modules ⋮ On extensions of hook Weyl modules

Cites Work

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• Characteristic-free decomposition of skew Schur functors
• On Schur algebras and related algebras. I
• Characteristic-free representation theory of the general linear group
• Skew modules for reductive groups
• A remark on integral representations of \(GL_{{\mathbb{Z}}}(n)\)
• Letter place algebras and a characteristic-free approach to the representation theory of the general linear and symmetric groups. I
• Polynomial representations of \(GL_n\)
• Schur functors and Schur complexes
• Rational and generic cohomology
• Characteristic-free representation theory of the general linear group. II: Homological considerations
• BGG algebras and the BGG reciprocity principle

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