Homomorphisms between neighbouring Weyl modules

DOI10.1016/0021-8693(86)90189-4zbMath0603.20040OpenAlexW2090881290MaRDI QIDQ1082449

M. Koppinen

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90189-4

zbMATH Keywords

Weyl moduleshomomorphismsdominant weightsstrong linkage principleregular linkage relationsimply connected semi-simple algebraic groupsmall dominant intervals

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05)

Related Items (11)

MODULAR DECOMPOSITION NUMBERS OF CYCLOTOMIC HECKE AND DIAGRAMMATIC CHEREDNIK ALGEBRAS: A PATH THEORETIC APPROACH ⋮ Weyl modules for p-singular weights ⋮ Very strong linkage for cohomology groups of line bundles on G/B ⋮ \(p\)-restriction of partitions and homomorphisms between Specht modules. ⋮ On homomorphisms into Weyl modules corresponding to partitions with two parts ⋮ The composition of intertwining homomorphisms ⋮ On the Generic Structure of Cohomology Modules for Semisimple Algebraic Groups ⋮ Loewy Series of Certain Indecomposable Modules for Frobenius Subgroups ⋮ HOMOMORPHISMS AND HIGHER EXTENSIONS FOR SCHUR ALGEBRAS AND SYMMETRIC GROUPS ⋮ Homomorphisms between Weyl modules for $\operatorname {SL}_3(k)$ ⋮ A sum formula for tilting filtrations

Cites Work

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• Moduln mit einem höchsten Gewicht
• On the structure of the cohomology of line bundles on G/B
• On homomorphisms between Weyl modules and Specht modules
• The strong linkage principle.
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.
• Darstellungen halbeinfacher Gruppen und kontravariante Formen.
• On the composition factors of Weyl modules.
• On the translation functors for a semisimple algebraic group.
• Introduction to Lie Algebras and Representation Theory
• On the structure of Weyl modules

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