On the Generic Structure of Cohomology Modules for Semisimple Algebraic Groups

DOI10.2307/2000163zbMath0593.14033OpenAlexW4253673310MaRDI QIDQ3722632

Henning Haahr Andersen

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000163

zbMATH Keywords

finite characteristicBorel subgroupsimple headscohomology modules for line bundlessimple socles

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Cohomology theory for linear algebraic groups (20G10) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items

Jantzen's filtrations of Weyl modules ⋮ 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 ⋮ Translation and cancellation of socle series patterns ⋮ Character formulas and Frobenius subgroups of algebraic groups ⋮ Extensions of modules for infinitesimal algebraic groups ⋮ Representation theory via cohomology of line bundles ⋮ Socle series of cohomology groups of line bundles on \(G/B\) ⋮ Highest weight modules for algebraic groups arising from quantum groups ⋮ Cohomology of line bundles on G/B for the exceptional group \(G_ 2\) ⋮ \(p\)-filtrations of dual Weyl modules ⋮ Structure of cohomology modules of linear bundles over \(G/B\) ⋮ Structure of cohomology modules of linear bundles over \(G/B\) and weak ordering on the Weyl group ⋮ Structure of cohomology of line bundles on G/B for semisimple groups ⋮ Filtrations of the modules for Chevalley groups arising from admissible lattices

Cites Work

• The first cohomology group of a line bundle on G/B
• A Mackey imprimitivity theory for algebraic groups
• Homomorphisms between neighbouring Weyl modules
• On the structure of the higher cohomology modules of line bundles on G/B
• Über das Dekompositionsverhalten gewisser modularer Darstellungen halbeinfacher Gruppen und ihrer Lie-Algebren
• Filtrations of cohomology modules for Chevalley groups
• Extensions of Modules for Algebraic Groups
• On Injective Modules for Infinitesimal Algebraic Groups, I
• The strong linkage principle.
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.
• On the structure of Weyl modules
• On the structure of Weyl modules