Generic representations of the finite general linear groups and the Steenrod algebra. III

DOI10.1007/BF00961668zbMath0831.20057MaRDI QIDQ1897329

Nicholas J. Kuhn

Publication date: 13 February 1996

Published in: \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

representationstopological Hochschild homologyAbelian categoriesfunctorsnatural transformationsSteenrod algebrasMacLane homologysymmetric coinvariant functorssymmetric invariant functors

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Steenrod algebra (55S10) Cohomology theory for linear algebraic groups (20G10)

Related Items

Invariant subspaces of the ring of functions on a vector space over a finite field, The structure of \(\bar I\otimes\Lambda^n\) in generic representation theory, Groupes d’extensions et foncteurs polynomiaux, The mod-\(p\) Riemann-Hilbert correspondence and the perfect site, Cohomological finite-generation for finite supergroup schemes, Koszul duality and extensions of exponential functors, A note on polynomial functors and ext¹Groups, Generic representation theory of finite fields in nondescribing characteristic, Module structure on Lie powers and natural coalgebra-split sub-Hopf algebras of tensor algebras, Schur--De-Rham complex and its cohomology, Endomorphisms of \(H^*(K(V,n);\mathbb F_2)\) in the category of unstable modules, Extensions of strict polynomial functors, Essential extensions, the nilpotent filtration and the Arone–Goodwillie tower, The structure of the tensor product of \(\mathbb{F}_2[-\) with a finite functor between \(\mathbb{F}_2\)-vector spaces], The structure of indecomposable injectives in generic representation theory, Computations in generic representation theory: maps from symmetric powers to composite functors, The Artinian conjecture for \(I^{\otimes 2}\). With an appendix by Lionel Schwartz, Lannes T-functor and invariants of pointwise stabilizers, Finitude homologique des foncteurs sur une catégorie additive et applications, QUELQUES CALCULS DE COHOMOLOGIE DE COMPOSITIONS DE PUISSANCES SYMÉTRIQUES

Cites Work

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• The Steenrod algebra and its dual
• The Sullivan conjecture on maps from classifying spaces
• The Segal conjecture for elementary abelian \(p\)-groups
• Extensions du groupe additif
• On embedding polynomial functors in symmetric powers
• Towards the MacLane cohomology of finite fields
• Generic representations of the finite general linear groups and the Steenrod algebra. II
• Localizations of unstable \(A\)-modules and equivariant mod \(p\) cohomology
• Sur la structure des A-modules instables injectifs
• G. B. Segal's Burnside ring conjecture for \((Z/2)^k\)
• On topologically realizing modules over the Steenrod algebra
• Cohomology of algebraic theories
• On Certain Stable Wedge Summands of B(𝓩/p)ⁿ+
• 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
• The 𝑚𝑜𝑑2 cohomology structure of certain fibre spaces
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