Extensions of simple modules for finite Chevalley groups

DOI10.1016/0021-8693(87)90225-0zbMath0626.20029OpenAlexW2058189502MaRDI QIDQ580498

Henning Haahr Andersen

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90225-0

zbMATH Keywords

group of rational pointscharacter groupsimple rootsmaximal torusalmost simple algebraic groupdominant characterssimple G-modules

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20)

Related Items (20)

On the \(1\)-cohomology of finite groups of Lie type ⋮ Loewy series for principal series representations of finite Chevalley groups ⋮ Cohomology of finite chevalley groups with coefficients in modules with 1-dimensional weight spaces ⋮ Extensions of simple modules for G₂(p) ⋮ On mod local-global compatibility for in the ordinary case ⋮ Centralisers of finite groups in locally finite simple groups ⋮ Ordinary and modular characters of \(\mathrm{SU}(3,p)\). ⋮ Extensions for Frobenius kernels. ⋮ 1-cohomologies of a special linear group with coefficients in a module of truncated polynomials ⋮ On comparing the cohomology of algebraic groups, finite Chevalley groups and Frobenius kernels ⋮ Lattices in the cohomology of \(U(3)\) arithmetic manifolds ⋮ 1-cohomology of Chevalley groups ⋮ SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE ⋮ Extensions of simple modules for SL₃(2^f) and SU₃(2^f) ⋮ Extensions for finite Chevalley groups. I. ⋮ Generic patterns for extensions of simple modules for finite Chevalley groups ⋮ On the cohomology of the Ree groups and kernels of exceptional isogenies ⋮ Extensions of modules of truncated polynomials and exterior powers over a finite special linear group ⋮ On the doubly transitive permutation representations of \(\text{Sp}(2n,\mathbb{F}_2)\). ⋮ Extensions for finite Chevalley groups II

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