Sheaf homology and complete reducibility

DOI10.1016/0021-8693(85)90093-6zbMath0609.20026OpenAlexW2092471744MaRDI QIDQ1086675

Stephen D. Smith

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90093-6

zbMATH Keywords

weightssplittingcomposition factorsChevalley groupDynkin diagramBorel subgroupcomplete reducibility

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Modular representations and characters (20C20) Cohomology theory for linear algebraic groups (20G10)

Related Items

Sheaves on buildings and modular representations of Chevalley groups, Extensions of simple modules for finite Chevalley groups, 1-cohomology of Chevalley groups, On the geometry of the adjoint representation of a Chevalley group, Classical locally finite Tits chamber systems of rank 3, Extensions for finite Chevalley groups. I.

Cites Work

• Tits geometries and parabolic systems in finitely generated groups. II
• Minimal parabolic geometries for the sporadic groups
• Universal presheaves on group geometries, and modular representations
• Sheaves on buildings and modular representations of Chevalley groups
• Spin modules in characteristic 2
• Irreducible modules and parabolic subgroups
• On the simple group of D.G. Higman and C.C. Sims
• The Projective Indecomposable Modules of SL(2, p ⁿ )
• The Characters of the Finite Symplectic Group Sp(4,q)
• Introduction to Lie Algebras and Representation Theory
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