Extensions of modules for infinitesimal algebraic groups

DOI10.1016/0021-8693(89)90245-7zbMath0678.20023OpenAlexW2078500601MaRDI QIDQ1123978

Masaharu Kaneda

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)90245-7

zbMATH Keywords

extensionssemi-simple algebraic groupLusztig's conjectureFrobenius homomorphismFrobenius kernelcharacters of simple G-modules

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 (2)

Loewy Series of Certain Indecomposable Modules for Frobenius Subgroups ⋮ Cohomology of infinitesimal algebraic groups

Cites Work

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• Cohomology of induced representations for algebraic groups
• Jantzen's filtrations of Weyl modules
• An inversion formula for the Kazhdan-Lusztig polynomials for affine Weyl groups
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• Character formulas and Frobenius subgroups of algebraic groups
• Hecke algebras and Jantzen's generic decomposition patterns
• Sheaf cohomology on G/B and tensor products of Weyl modules
• Spherical functions and a \(q\)-analogue of Kostant's weight multiplicity formula
• Representations of Coxeter groups and Hecke algebras
• Filtrations of principal indecomposable modules of Frobenius kernels of reductive groups
• On the Kazhdan-Lusztig polynomials for affine Weyl groups
• Extensions of Modules for Algebraic Groups
• On Injective Modules for Infinitesimal Algebraic Groups, I
• On the Generic Structure of Cohomology Modules for Semisimple Algebraic Groups
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.

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