Spectral sequences and relative cohomology
Stable derived functors of the second symmetric power functor, second exterior power functor and Whitehead gamma functor
Taylor towers for -modules
We consider Taylor approximation for functors from the small category of finite pointed sets to modules and give an explicit description for the homology of the layers of the Taylor tower. These layers are shown to be fibrant objects in a suitable closed model category structure. Explicit calculations are presented in characteristic zero including an application to higher order Hochschild homology. A spectral sequence for the homology of the homotopy fibres of this approximation is provided.
The André-Quillen homology of commutative graded algebras
The cohomological dimension of the ordered set of real numbers equals three
The derived functors of and protorsion modules
The relative dihedral homology of involutive algebras.
Transformation de Fourier géométrique et microlocalisation
Trivial formal fibres and formal Laurent series
Troesch complexes and extensions of strict polynomial functors
We develop a new approach of extension calculus in the category of strict polynomial functors, based on Troesch complexes. We obtain new short elementary proofs of numerous classical -computations as well as new results. In particular, we get a cohomological version of the “fundamental theorems” from classical invariant theory for for big enough (and we give a conjecture for smaller values of ). We also study the “twisting spectral sequence” converging to the extension groups between the...
Un diviseur de zéro induisant un élément d'homotopie central
Une formule pour les extensions de foncteurs composés
Let p be a prime, and let ℱ be the category of functors from the finite -vector spaces to all -vector spaces. The object Id of ℱ is the inclusion functor. Let F and G be two objects in ℱ. If F and G satisfy suitable conditions, the main result of this paper allows one to compute from the knowledge of and .
Une résolution injective des puissances symétriques tordues
Dans cet article, on construit une résolution injective explicite des puissances symétriques tordues dans la catégorie des foncteurs strictement polynomiaux. Cette construction généralise à toute caractéristique la construction donnée par Friedlander et Suslin en caractéristique 2.
Universelle Koeffizientenfolgen für den lim-Funktor und Anwendungen.
Гомологическая алгебра в предабелевых категориях
Гомотопия псевдосимплициальных групп, неабелевы производные функторы и алгебраическая -теория
Некоторые применения функтора
О существовании периодической резольвенты для пополненной алгебры
О функторах, имеющих заданные производные