Foncteur pleinement fidèle dense classant les algèbres
Foncteurs polynomiaux et foncteurs de Mackey non linéaires
On décrit les foncteurs polynomiaux, des groupes abéliens libres vers les groupes abéliens, comme des diagrammes de groupes abéliens dont on explicite les relations.
Foncteurs sous-objets et relations continues
Formal Translation Monoid and Algebra Congruences in a Monodial Category.
Framed bicategories and monoidal fibrations.
Galois extensions as functors of comodules.
Generators and relations for as a monoidal 2-category.
Generic commutative separable algebras and cospans of graphs.
Graded monoidal categories
Heisenberg algebra and a graphical calculus
A new calculus of planar diagrams involving diagrammatics for biadjoint functors and degenerate affine Hecke algebras is introduced. The calculus leads to an additive monoidal category whose Grothendieck ring contains an integral form of the Heisenberg algebra in infinitely many variables. We construct bases of the vector spaces of morphisms between products of generating objects in this category.
Higher-dimensional algebra. V: 2-Groups.
Higher-dimensional categories with finite derivation type.
Homotopy representability of Brauer groups.
The purpose of this paper is to present certain facts and results showing a way through which simplicial homotopy theory can be used in the study of Auslander-Goldman-Brauer groups of Azumaya algebras over commutative rings.
Homotopy theory for (braided) cat-groups
Hopf diagrams and quantum invariants.
Hopf -crossed biproduct and related coquasitriangular structures
Hopf-Galois extensions for monoidal Hom-Hopf algebras
Hopf-Galois extensions for monoidal Hom-Hopf algebras are investigated. As the main result, Schneider's affineness theorem in the case of monoidal Hom-Hopf algebras is shown in terms of total integrals and Hopf-Galois extensions. In addition, we obtain an affineness criterion for relative Hom-Hopf modules which is associated with faithfully flat Hopf-Galois extensions of monoidal Hom-Hopf algebras.
Hyperoctahedral species.
Internal crossed modules.
Internal object actions
We describe the place, among other known categorical constructions, of the internal object actions involved in the categorical notion of semidirect product, and introduce a new notion of representable action providing a common categorical description for the automorphism group of a group, for the algebra of derivations of a Lie algebra, and for the actor of a crossed module.