Detecting nilpotence and projectivity over finite unipotent supergroup schemes

DOI10.1007/s00029-021-00632-7zbMath1475.14089arXiv1901.08273OpenAlexW3156783001MaRDI QIDQ829629

Julia Pevtsova, Henning Krause, Srikanth B. Iyengar, David John Benson

Publication date: 6 May 2021

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.08273

zbMATH Keywords

superalgebrasupergroup scheme

Mathematics Subject Classification ID

Cohomology of groups (20J06) Homological methods in Lie (super)algebras (17B55) Superalgebras (17A70) Group schemes (14L15) ``Super (or ``skew) structure (16W55)

Related Items

Graded analogues of one-parameter subgroups and applications to the cohomology of \(\mathrm{GL}_{m|n(r)}\), Hypersurface support and prime ideal spectra for stable categories, Representations and cohomology of a family of finite supergroup schemes, On support varieties for Lie superalgebras and finite supergroup schemes, Support schemes for infinitesimal unipotent supergroups, Rank varieties and 𝜋-points for elementary supergroup schemes, HYPERSURFACE SUPPORT FOR NONCOMMUTATIVE COMPLETE INTERSECTIONS

Cites Work

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• The varieties and the cohomology ring of a module
• The Steenrod algebra and its dual
• Complexity and elementary Abelian p-groups
• Cohomological finite-generation for finite supergroup schemes
• \(\Pi\)-supports for modules for finite group schemes.
• Support varieties for the Steenrod algebra
• Quillen stratification for modules
• Varieties and elementary Abelian groups
• Projectivity and relative projectivity over group rings
• Endo-permutation modules over p-groups. II
• Cohomology of finite group schemes over a field
• Witt subgroups and cyclic Dieudonné modules killed by \(p\).
• Nilpotence and generation in the stable module category
• On support varieties for Lie superalgebras and finite supergroup schemes
• Finite injective dimension over rings with Noetherian cohomology.
• Representations and cohomology of a family of finite supergroup schemes
• On the cohomological spectrum and support varieties for infinitesimal unipotent supergroup schemes
• Colocalising subcategories of modules over finite group schemes
• Detection theorem for finite group schemes
• Sur la dimension cohomologique des groupes profinis
• Cohomology of finite groups and elementary abelian subgroups
• The spectrum of an equivariant cohomology ring. I. II
• The fundamental correspondences in super affine groups and super formal groups.
• Graded analogues of one-parameter subgroups and applications to the cohomology of \(\mathrm{GL}_{m|n(r)}\)
• Cohomological finite generation for restricted Lie superalgebras and finite supergroup schemes
• Cohomology Operations (AM-50)
• The Cohomology Algebras of Finite Dimensional Hopf Algebras
• Complexity and varieties for infinitely generated modules, II
• Axiomatic stable homotopy theory
• Infinitesimal 1-parameter subgroups and cohomology
• Support varieties for infinitesimal group schemes
• Stratification for module categories of finite group schemes
• Representation-theoretic support spaces for finite group schemes
• Local duality for representations of finite group schemes