Duality for presheaves on chamber systems, and a related chain complex

DOI10.1016/0021-8693(89)90063-XzbMath0679.20007MaRDI QIDQ1822610

Mark A. Ronan

Publication date: 1989

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

zbMATH Keywords

modulesrepresentationsfinite groupchamber systemboundary mapsbuildingcellspresheaveschain complexduality relationregular cell complexcochain complexSteinberg module for Chevalley groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Geometric group theory (20F65) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Cohomology theory for linear algebraic groups (20G10) Chain complexes in algebraic topology (55U15)

Related Items (5)

On decomposition of modular representations from Cohen-Macaulay geometries ⋮ Embeddings and hyperplanes of discrete geometries ⋮ Conjugate $p$-elements of full support that generate the wreath product $C_{p}wr C_{p}$ ⋮ 1-cohomology of Chevalley groups ⋮ On the geometry of the adjoint representation of a Chevalley group

Cites Work

• Coverings and automorphisms of chamber systems
• Universal presheaves on group geometries, and modular representations
• Sheaves on buildings and modular representations of Chevalley groups
• Irreducible modules and parabolic subgroups
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