Representations of elementary Abelian \(p\)-groups and bundles on Grassmannians.

DOI10.1016/j.aim.2011.11.004zbMath1260.20013arXiv1106.4474OpenAlexW2030149259MaRDI QIDQ409635

Julia Pevtsova, Eric M. Friedlander, Carlson, Jon F.

Publication date: 13 April 2012

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

Full work available at URL: https://arxiv.org/abs/1106.4474

zbMATH Keywords

group algebrasGrassmannianselementary Abelian \(p\)-groupsmodules of constant Jordan typesupport varietiesalgebraic vector bundlescyclic shifted subgroupsfinite group schemesmodules of constant radical typemodules of constant socle typerank varieties

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Modular representations and characters (20C20) Grassmannians, Schubert varieties, flag manifolds (14M15) Finite abelian groups (20K01) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Torsion groups, primary groups and generalized primary groups (20K10) Group schemes (14L15)

Related Items

Vector bundles associated to Lie algebras ⋮ Realizability and the Avrunin–Scott theorem for higher-order support varieties ⋮ Restricted modules and conjectures for modules of constant Jordan type. ⋮ Elementary subalgebras of Lie algebras ⋮ Representations of regular trees and invariants of AR-components for generalized Kronecker quivers ⋮ Representations of constant socle rank for the Kronecker algebra

Uses Software

• Magma

Cites Work

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• Modules for \(\mathbb Z/p\times\mathbb Z/p\).
• Support varieties for restricted Lie algebras
• The varieties and the cohomology ring of a module
• Generalized support varieties for finite group schemes.
• The variety of an indecomposable module is connected
• Generic and maximal Jordan types
• \(\Pi\)-supports for modules for finite group schemes.
• Indecomposable representations
• Quillen stratification for modules
• Products in negative cohomology
• Endo-permutation modules over p-groups. II
• Equivariant sheaves and functors
• Cohomology of finite group schemes over a field
• Cohomology rings of finite groups. With an appendix: Calculations of cohomology rings of groups of order dividing 64.
• The spectrum of an equivariant cohomology ring. I. II
• Representations of Elementary Abelian <I>p</I>-Groups and Vector Bundles
• A realization theorem for modules of constant Jordan type and vector bundles
• Constructions for infinitesimal group schemes
• Infinitesimal 1-parameter subgroups and cohomology
• Support varieties for infinitesimal group schemes
• Representation-theoretic support spaces for finite group schemes
• Modules of constant Jordan type