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math.CT2023
Hopf Monads on Biproducts
Masahito Hasegawa, Jean-Simon Pacaud Lemay
A Hopf monad, in the sense of Bruguières, Lack, and Virelizier, is a special kind of monad that can be defined for any monoidal category. In this note, we study Hopf monads in the…
math.CT2022★ 2 cited
Traced Monads and Hopf Monads
Masahito Hasegawa, Jean-Simon Pacaud Lemay
A traced monad is a monad on a traced symmetric monoidal category that lifts the traced symmetric monoidal structure to its Eilenberg-Moore category. A long-standing question has b…