123 citations · 131 across the 7 of their papers we have counts for
8 papers
Pre-rigid Monoidal Categories
Alessandro Ardizzoni, Isar Goyvaerts, Claudia Menini
Liftable pairs of adjoint functors between braided monoidal categories in the sense of \cite{GV-OnTheDuality} provide auto-adjunctions between the associated categories of bialgebr…
Liftable pairs of functors and Initial objects
Alessandro Ardizzoni, Isar Goyvaerts, Claudia Menini
Let and be monoidal categories and let be a lax monoidal functor. If has a left adjoint , it is well-know…
Restricted Lie algebras via monadic decomposition
Alessandro Ardizzoni, Isar Goyvaerts, Claudia Menini
We give a description of the category of restricted Lie algebras over a field of prime characteristic by means of monadic decomposition of the functor that computes the $\…
The Witt group of a braided Monoidal category
Isar Goyvaerts, Ehud Meir
We develop the Witt group for certain braided monoidal categories with duality. In case of a braided fusion category over an algebraically closed field of characteristic zero, we e…
On the duality of generalized Lie and Hopf algebras
Isar Goyvaerts, Joost Vercruysse
We show how, under certain conditions, an adjoint pair of braided monoidal functors can be lifted to an adjoint pair between categories of Hopf algebras. This leads us to an abstra…
Lie monads and dualities
Isar Goyvaerts, Joost Vercruysse
We study dualities between Lie algebras and Lie coalgebras, and their respective (co)representations. To allow a study of dualities in an infinite-dimensional setting, we introduce…
A Note on the categorification of Lie algebras
Isar Goyvaerts, Joost Vercruysse
In this short note we study Lie algebras in the framework of symmetric monoidal categories. After a brief review of the existing work in this field and a presentation of earlier st…
Monoidal Hom-Hopf algebras
S. Caenepeel, I. Goyvaerts
Hom-structures (Lie algebras, algebras, coalgebras, Hopf algebras) have been investigated in the literature recently. We study Hom-structures from the point of view of monoidal cat…