Extensions of symmetric tensors by alternating tensors

DOI10.1016/0021-8693(89)90071-9zbMath0682.14033OpenAlexW1963540981MaRDI QIDQ1824009

Kaan Akin

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90071-9

zbMATH Keywords

representation theoryexterior algebradivided power algebrahyperalgebrapolynomial representations of the algebraic group scheme

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (10)

Resolutions, homological dimensions, and extension of hook representations ⋮ On the Ext groups between Weyl modules for \(\text{GL}_n\). ⋮ Koszul duality and extensions of exponential functors ⋮ On Inverting the Koszul Complex ⋮ Bar complexes and extensions of classical exponential functors ⋮ On homomorphisms involving a hook Weyl module ⋮ Schur functors and dominant dimension ⋮ Integral \(\mathrm{Ext}^2\) between hook Weyl modules ⋮ On extensions of hook Weyl modules ⋮ Koszul, Ringel and Serre duality for strict polynomial functors

Cites Work

• On Schur algebras and related algebras. II
• 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
• Homology

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