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math.RA2013
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…
math.RA2013★ 6 cited
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…