Cohomology of algebraic groups, Lie algebras, and finite groups of Lie type

DOI10.1090/pspum/108/01957MaRDI QIDQ6629976

Publication date: 30 October 2024

Cohomology of groups (20J06) Cohomology of Lie (super)algebras (17B56) Cohomology theory for linear algebraic groups (20G10)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
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.
On the cohomology of algebraic and related finite groups
Bounding Ext for modules for algebraic groups, finite groups and quantum groups.
First cohomology groups of Chevalley groups in cross characteristic.
Cohomology of infinitesimal algebraic groups
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
Extensions between simple modules for Frobenius kernels
Rational and generic cohomology
Computations of K-theories of finite fields
Cohomology of finite groups of Lie type. I
Frobenius splitting of cotangent bundles of flag varieties
On tilting modules for algebraic groups
Extensions of simple modules for special algebraic groups
Cohomology of finite group schemes over a field
Extensions for Frobenius kernels.
Modular characteristic classes for representations over finite fields
Second cohomology for finite groups of Lie type.
Extensions for finite Chevalley groups. I.
On the range of non-vanishing \(p\)-torsion cohomology for \(\text{GL}_n(\mathbb{F}_p)\).
Unbounding Ext.
A simple character formula
On the cohomology of the Ree groups and kernels of exceptional isogenies
Counterexamples to the tilting and \((p,r)\)-filtration conjectures
Extensions for finite Chevalley groups. III: Rational and generic cohomology.
Nonvanishing cohomology classes on finite groups of Lie type with Coxeter number at most \(p\).
Cohomology of unipotent group schemes
Low degree cohomology of Frobenius kernels
Bounding cohomology for finite groups and Frobenius kernels.
Lie algebra cohomology and the generalized Borel-Weil theorem
Presentations of finite simple groups: profinite and cohomological approaches.
On the cohomology and K-theory of the general linear groups over a finite field
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
Third cohomology for Frobenius kernels and related structures
Reduced standard modules and cohomology
The Cohomology of Irreducible Modules Over SL(2,pⁿ )
Extensions of Modules for Algebraic Groups
A vanishing theorem for the cohomology of borel subgroups
Cohomology of Lie Algebras and Algebraic Groups
Infinitesimal 1-parameter subgroups and cohomology
Support varieties for infinitesimal group schemes
ON REPRESENTATIONS OF ALGEBRAIC GROUPS IN CHARACTERISTIC TWO
The Second Cohomology of SimpleSL₃-Modules
First cohomology for finite groups of Lie type: Simple modules with small dominant weights
Bounding the Dimensions of Rational Cohomology Groups
On the vanishing ranges for the cohomology of finite groups of Lie type II
First cohomology groups for finite groups of Lie type in defining characteristic
Cohomology of algebraic groups, finite groups, and Lie algebras: Interactions and Connections
Projective modules for finite Chevalley groups
On comparing the cohomology of algebraic groups, finite Chevalley groups and Frobenius kernels
On Donkin's Tilting Module Conjecture II: Counterexamples
On Donkin's tilting module conjecture. III: New generic lower bounds

This page was built for publication: Cohomology of algebraic groups, Lie algebras, and finite groups of Lie type