On Weyl Resolutions Associated to Frobenius Twists

DOI10.1080/00927870903085237zbMath1268.20049arXiv0807.1488OpenAlexW2167427337MaRDI QIDQ3015084

Mihalis Maliakas

Publication date: 8 July 2011

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

Full work available at URL: https://arxiv.org/abs/0807.1488

zbMATH Keywords

Schur functionsgeneral linear groupsSchur algebrassymmetric functionssymmetric polynomialsdivided powersFrobenius twistscomplexes of Weyl modulesWeyl filtration dimensionWeyl resolutions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representation theory for linear algebraic groups (20G05) Schur and (q)-Schur algebras (20G43)

Related Items (1)

On homomorphisms into Weyl modules corresponding to partitions with two parts

Cites Work

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• Finite resolutions of modules for reductive algebraic groups
• Sheaf cohomology on G/B and tensor products of Weyl modules
• Schur functors and Schur complexes
• Cohomology of Lie Algebras and Algebraic Groups
• On homomorphisms between Weyl modules and Specht modules
• On the good filtration dimension of Weyl modules for a linear algebraic group
• The global dimension of Schur algebras for \(\text{GL}_2\) and \(\text{GL}_3\)

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