Note on Frobenius monoidal functors

Abstract

It is well known that strong monoidal functors preserve duals. In this short note we show that a slightly weaker version of functor, which we call "Frobenius monoidal", is sufficient.

8 pages; added new material

Cited by in corpus (8)

• Weak bimonads and weak Hopf monads
• On representation categories of wreath products in non-integral rank
• What Separable Frobenius Monoidal Functors Preserve
• The indecomposable objects in the center of Deligne's category $Rep(S_t)$
• Freely adjoining monoidal duals
• Algebraic structures in comodule categories over weak bialgebras
• Frobenius monoidal functors from ambiadjunctions and their lifts to Drinfeld centers
• Inner autoequivalences in general and those of monoidal categories in particular