Extensions for finite Chevalley groups. III: Rational and generic cohomology.

DOI10.1016/j.aim.2014.04.014zbMath1300.20055arXiv1306.3385OpenAlexW2021691547MaRDI QIDQ2251894

Cornelius Pillen, Daniel K. Nakano, Christopher P. Bendel

Publication date: 15 July 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3385

zbMATH Keywords

simple algebraic groupsfinite Chevalley groupsgeneric cohomologyrational stability

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Cohomology of groups (20J06) Cohomology theory for linear algebraic groups (20G10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cohomology for Frobenius kernels of \(\mathrm{SL}_2\).
• Second cohomology groups for algebraic groups and their Frobenius kernels.
• The \(\text{GL}_n(q)\)-module structure of the symmetric algebra around the Steinberg module.
• Cohomology of induced representations for algebraic groups
• Second cohomology groups for Frobenius kernels and related structures.
• \(B\)-cohomology.
• Cohomology of infinitesimal and discrete groups
• Cohomology of Chevalley groups over finite fields
• Rational and generic cohomology
• Frobenius splitting of cotangent bundles of flag varieties
• Extensions for Frobenius kernels.
• Second cohomology for finite groups of Lie type.
• Extensions for finite Chevalley groups. I.
• Unbounding Ext.
• Shifted generic cohomology
• On the Vanishing Ranges for the Cohomology of Finite Groups of Lie Type
• Cohomology for quantum groups via the geometry of the nullcone
• Extensions for finite Chevalley groups II
• The Cohomology of Irreducible Modules Over SL(2,pⁿ )
• Extensions of Modules for Algebraic Groups
• Detecting Rational Cohomology of Algebraic Groups
• First cohomology for finite groups of Lie type: Simple modules with small dominant weights
• On the vanishing ranges for the cohomology of finite groups of Lie type II
• On comparing the cohomology of algebraic groups, finite Chevalley groups and Frobenius kernels

This page was built for publication: Extensions for finite Chevalley groups. III: Rational and generic cohomology.