On the structure of Weyl modules

DOI10.1007/BF01214709zbMath0403.20026WikidataQ106323688 ScholiaQ106323688MaRDI QIDQ5906168

Henning Haahr Andersen

Publication date: 1980

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172897

zbMATH Keywords

Connected Reductive Algebraic GroupFiltrations of the Weyl ModulesIntertwining HomomorphismsTop Cohomology Groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Homological methods in group theory (20J05)

Related Items (17)

Homomorphisms between neighbouring Weyl modules ⋮ Cohomology of G/B in characteristic p ⋮ Representations of finite groups ⋮ Weyl modules for p-singular weights ⋮ On the structure of the higher cohomology modules of line bundles on G/B ⋮ On the intertwinings between higher cohomology modules of line bundles on G/B ⋮ On the structure of the cohomology of line bundles on G/B ⋮ The composition of intertwining homomorphisms ⋮ On the structure of Weyl modules ⋮ On the Generic Structure of Cohomology Modules for Semisimple Algebraic Groups ⋮ Projective modules for the group of twenty-seven lines on a cubic suface ⋮ Filtrations of cohomology modules for Chevalley groups ⋮ Uniserial modules forB₂ ⋮ Homomorphisms between Weyl modules for $\operatorname {SL}_3(k)$ ⋮ Cohomology of line bundles on G/B for the exceptional group \(G_ 2\) ⋮ The submodule structure of Weyl modules for \(SL_ 3\) ⋮ Seshadri stratification for Schubert varieties and standard monomial theory

Cites Work

• Unnamed Item
• The first cohomology group of a line bundle on G/B
• On the modular representations of the general linear and symmetric groups
• Linear systems on homogeneous spaces
• Ordinary and modular representations of Chevalley groups
• Induced modules and affine quotients
• A very simple proof of Bott's theorem
• Über das Dekompositionsverhalten gewisser modularer Darstellungen halbeinfacher Gruppen und ihrer Lie-Algebren
• Blocks and indecomposable modules for semisimple algebraic groups
• Sur quelques points d'algèbre homologique
• The strong linkage principle.
• Darstellungen halbeinfacher Gruppen und kontravariante Formen.
• Introduction to Lie Algebras and Representation Theory

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