A geometric presentation of the 26-dimensional module for \(F_ 4(q)\)

DOI10.1016/0021-8693(90)90142-BzbMath0714.20024MaRDI QIDQ750621

Stephen D. Smith, Steven Cohen

Publication date: 1990

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

zbMATH Keywords

parabolic subgroupssimplicial complexG-actionbuildingunipotent radicalgenerating set0-homology1-homology26 dimensional modulefixed-point sheafgeometric presentationmodular representations of finite Chevalley groups

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Modular representations and characters (20C20) Homological methods in group theory (20J05) Groups with a (BN)-pair; buildings (20E42) Cohomology theory for linear algebraic groups (20G10)

Related Items (1)

A bound for the dimension of \(H_ 0({\mathcal F}_ V)\) of modules \(V(\lambda_ i+\lambda_ j)\) for \(A_ l(q)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sheaves on buildings and modular representations of Chevalley groups
• Irreducible modules and parabolic subgroups
• Buildings of spherical type and finite BN-pairs
• Cohomology of finite groups of Lie type. I
• 1-cohomology of Chevalley groups
• A geometric presentation for the adjoint module of \(SL_ 3(k)\)
• On the geometry of the adjoint representation of a Chevalley group
• Apartments and the cayley-algebra module for G₂(k)
• Involutions in Chevalley groups over fields of even order
• Introduction to Lie Algebras and Representation Theory

This page was built for publication: A geometric presentation of the 26-dimensional module for \(F_ 4(q)\)