Decompositions of adjoint situations
Decompositions of the category of noncommutative sets and Hochschild and cyclic homology
In this note we show that the main results of the paper [PR] can be obtained as consequences of more general results concerning categories whose morphisms can be uniquely presented as compositions of morphisms of their two subcategories with the same objects. First we will prove these general results and then we will apply it to the case of finite noncommutative sets.
Décompositions primaires dans les catégories de Grothendieck commutatives. II.
Décompositions primaires dans les catégories de Grothendieck commutatives. I.
Deduction over graphs under constraints : a soundness and completeness theorem
Deductive systems and categories.
Definable completeness
Definable orthogonality classes in accessible categories are small
We lower substantially the strength of the assumptions needed for the validity of certain results in category theory and homotopy theory which were known to follow from Vopěnka’s principle. We prove that the necessary large-cardinal hypotheses depend on the complexity of the formulas defining the given classes, in the sense of the Lévy hierarchy. For example, the statement that, for a class of morphisms in a locally presentable category of structures, the orthogonal class of objects is a small-orthogonality...
Définition algébrique des cellules non strictes
Deformations and derived categories
In this paper we generalize the deformation theory of representations of a profinite group developed by Schlessinger and Mazur to deformations of objects of the derived category of bounded complexes of pseudocompact modules for such a group. We show that such objects have versal deformations under certain natural conditions, and we find a sufficient condition for these versal deformations to be universal. Moreover, we consider applications to deforming Galois cohomology classes and the étale hypercohomology...
Deformations of (bi)tensor categories
Degree for cohomological invariants for quadratic forms.
Deligne-Lusztig restriction of a Gelfand-Graev module
Using Deodhar’s decomposition of a double Schubert cell, we study the regular representations of finite groups of Lie type arising in the cohomology of Deligne-Lusztig varieties associated to tori. We deduce that the Deligne-Lusztig restriction of a Gelfand-Graev module is a shifted Gelfand-Graev module.
Demi-groupes et catégories à involution
Demonic semantics: using monotypes and residuals.
Dense morphisms of monads.
Derivations of categorical groups.
Derivations of crossed modules.
Derivations of homotopy algebras
We recall the definition of strong homotopy derivations of algebras and introduce the corresponding definition for algebras. We define strong homotopy inner derivations for both algebras and exhibit explicit examples of both.
Derivations, semidirect products and reduced cyclic cohomology.