The Artinian conjecture for \(I^{\otimes 2}\). With an appendix by Lionel Schwartz
From MaRDI portal
Publication:1295529
DOI10.1016/S0022-4049(97)00054-6zbMath0928.18004WikidataQ123119336 ScholiaQ123119336MaRDI QIDQ1295529
Publication date: 19 August 1999
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
injective objectanalytic functorsimple functorArtinian conjectureArtinian objectArtinian typecategory of generic representationsco-Weyl objectdifference functorpolynomial filtration
Representation theory for linear algebraic groups (20G05) Projectives and injectives (category-theoretic aspects) (18G05) Steenrod algebra (55S10)
Related Items
Division functors and structure of \(I^{\otimes 2}\otimes \Lambda^n\) in the category \(\mathcal F\), A vanishing theorem in MacLane cohomology., The functor \(V\mapsto\mathbb F_{2}[V^{\otimes 3}\) between \(\mathbb F_{ 2 }\)-vector spaces is Noetherian], Gröbner methods for representations of combinatorial categories, The structure of the tensor product of \(\mathbb{F}_2[-\) with a finite functor between \(\mathbb{F}_2\)-vector spaces]
Cites Work
- Unnamed Item
- On function spaces whose source is the classifying space of an elementary abelian \(p\)-group
- Towards the MacLane cohomology of finite fields
- Generic representations of the finite general linear groups and the Steenrod algebra. II
- Generic representations of the finite general linear groups and the Steenrod algebra. III
- Extensions between exterior powers and between symmetric powers
- Cohomology of algebraic theories
- Reduced unstable $A$-modules and the modular representation theory of the symmetric groups
- Stable decompositions of classifying spaces of finite abelianp-groups
- The Categories of Unstable Modules and Unstable Algebras Over the Steenrod Algebra Modulo Nilpotent Objects
- Generic Representations of the Finite General Linear Groups and the Steenrod Algebra: I
