Resolutions, homological dimensions, and extension of hook representations

DOI10.1080/00927879108824254zbMath0757.20008OpenAlexW1998018064MaRDI QIDQ3978235

Mihalis Maliakas

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1080/00927879108824254

zbMATH Keywords

skew partitionWeyl modulegeneral linear groupSchur algebrahomological dimensioncategory of finite- dimensional representationscategory of homogeneous polynomial representationsskew hook

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Resolutions; derived functors (category-theoretic aspects) (18G10) Homological dimension (category-theoretic aspects) (18G20)

Related Items (4)

On the Ext groups between Weyl modules for \(\text{GL}_n\). ⋮ Integral \(\mathrm{Ext}^2\) between hook Weyl modules ⋮ On extensions of hook Weyl modules ⋮ On a character formula involving Borel subgroups

Cites Work

• Characteristic-free representation theory of the general linear group
• On Schur algebras and related algebras. II
• Schur functors and Schur complexes
• On the modular representations of the general linear and symmetric groups
• Characteristic-free representation theory of the general linear group. II: Homological considerations
• Extensions of symmetric tensors by alternating tensors
• On the Divided Power Algebra and the Symplectic Group in Characteristic 2
• On homomorphisms between weyl modules for hook partitions

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