\(\Pi\)-supports for modules for finite group schemes.

DOI10.1215/S0012-7094-07-13923-1zbMath1128.20031MaRDI QIDQ996173

Julia Pevtsova, Eric M. Friedlander

Publication date: 12 September 2007

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

cohomology ringsgroup schemesstable module categoriesthick subcategoriessupport varietiesrank varieties\(p\)-pointsfinite-dimensional cocommutative Hopf algebras

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Cohomology theory for linear algebraic groups (20G10) Group schemes (14L15)

Related Items

Negative cohomology and the endomorphism ring of the trivial module, Spectra of tensor triangulated categories over a category algebra -- a new approach, Support varieties and stable categories for algebraic groups, Construction of spectra of triangulated categories and applications to commutative rings, Detecting nilpotence and projectivity over finite unipotent supergroup schemes, Finite generation of cohomology for Drinfeld doubles of finite group schemes, Mini-workshop: Non-semisimple tensor categories and their semisimplification. Abstracts from the mini-workshop held February 7--13, 2021 (online meeting), THE DIMENSION OF A SUBCATEGORY OF MODULES, Generation in Module Categories and Derived Categories of Commutative Rings, Thick subcategories over Gorenstein local rings that are locally hypersurfaces on the punctured spectra, Graded analogues of one-parameter subgroups and applications to the cohomology of \(\mathrm{GL}_{m|n(r)}\), Varieties for modules of quantum elementary Abelian groups., Thick tensor ideals of right bounded derived categories, Endotrivial modules for nilpotent restricted Lie algebras, Krull-Schmidt decompositions for thick subcategories, Generic and maximal Jordan types, Filtrations, 1-parameter subgroups, and rational injectivity, Stratification for module categories of finite group schemes, Stratification and \(\pi\)-cosupport: finite groups, The endomorphism ring of the trivial module in a localized category, Representations of elementary Abelian \(p\)-groups and bundles on Grassmannians., On Euclidean components of Auslander-Reiten quivers of finite group schemes, Rank varieties for Hopf algebras., COSUPPORT FOR COMPACTLY GENERATED TRIANGULATED CATEGORIES, An analogue of Stone duality via support, Generalized trace and modified dimension functions on ribbon categories, Classifying thick subcategories of the stable category of Cohen-Macaulay modules, ON THE SUPPORT VARIETIES FOR DEMAZURE MODULES, On support varieties for Lie superalgebras and finite supergroup schemes, Endotrivial modules for finite group schemes, Spectrum of group cohomology and support varieties, Elementary subalgebras of Lie algebras, Support schemes for infinitesimal unipotent supergroups, Realizations of pairs and Oka families in tensor triangulated categories, Tensor products and support varieties for some noncocommutative Hopf algebras, The spectrum of the equivariant stable homotopy category of a finite group, Gluing representations via idempotent modules and constructing endotrivial modules., Detecting projectivity in sheaves associated to representations of infinitesimal groups, Exact Category of Modules of Constant Jordan Type, On the centralizer of the sum of commuting nilpotent elements., Thick tensor ideals of right bounded derived categories of commutative rings, Structure and detection theorems for \(k[C_2\times C_4\)-modules.], On support varieties and tensor products for finite dimensional algebras, The mathematics of Andrei Suslin, Cohomology of unipotent group schemes, R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES, Weil restriction and support varieties, Constructions for infinitesimal group schemes, Restrictions to G(𝔽_p) and G_(r) of rational G-modules, Computing homological residue fields in algebra and topology, Thick subcategories of the bounded derived category of a finite group, Geometric invariants of representations of finite groups, Support varieties for rational representations, Rank varieties and 𝜋-points for elementary supergroup schemes, Tensor ideals and varieties for modules of quantum elementary abelian groups, HYPERSURFACE SUPPORT FOR NONCOMMUTATIVE COMPLETE INTERSECTIONS, Subcategories of singularity categories via tensor actions, Tensor triangular geometry for classical Lie superalgebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The varieties and the cohomology ring of a module
• The variety of an indecomposable module is connected
• Generic and maximal Jordan types
• Representations, resolutions and Quillen's dimension theorem
• Quillen stratification for modules
• Projectivity and relative projectivity over group rings
• Endo-permutation modules over p-groups. II
• Complexity and quotient categories for group algebras
• Cohomology of finite group schemes over a field
• Galois theory of thick subcategories in modular representation theory
• Infinite dimensional modules for Frobenius kernels
• Detection theorem for finite group schemes
• Direct-sum representations of injective modules
• The spectrum of an equivariant cohomology ring. I. II
• On the cohomology and K-theory of the general linear groups over a finite field
• Stably thick subcategories of modules over 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
• Idempotent Modules in the Stable Category
• Representation-theoretic support spaces for finite group schemes
• Complexity and varieties for infinitely generated modules