Character formulas and Frobenius subgroups of algebraic groups

DOI10.1016/0021-8693(89)90169-5zbMath0678.20022OpenAlexW2052667996MaRDI QIDQ1123977

Stephen R. Doty

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)90169-5

zbMATH Keywords

irreducible modulesinductionmodular representationsFrobenius kernelsinduced modulesBorel subgroupssemi-simple algebraic groupsvery strong linkage principle

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)

Related Items

Extensions of modules for infinitesimal algebraic groups, Socle series of cohomology groups of line bundles on \(G/B\), Extensions between simple modules for Frobenius kernels, Loewy Series of Certain Indecomposable Modules for Frobenius Subgroups, Structure of cohomology of line bundles on G/B for semisimple groups

Cites Work

• Unnamed Item
• Unnamed Item
• Schubert varieties and Demazure's character formula
• Filtration patterns for representations of algebraic groups and their Frobenius kernels
• Cohomology of G/B in characteristic p
• On the structure of the higher cohomology modules of line bundles on G/B
• Cohomology, hyperalgebras, and representations
• Induced modules and affine quotients
• Über Darstellungen höherer Frobenius-Kerne halbeinfacher algebraischer Gruppen
• Induced modules and extensions of representations
• Filtrations of cohomology modules for Chevalley groups
• On Injective Modules for Infinitesimal Algebraic Groups, I
• On the Generic Structure of Cohomology Modules for Semisimple Algebraic Groups
• The Strong Linkage Principle
• The strong linkage principle.
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.
• Representations of Chevalley Groups in Characteristic p
• On the structure of Weyl modules