123 citations · 131 across the 7 of their papers we have counts for
4 papers · 1 filter
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…