Commit 2024-08-14 09:17 a7e0ad18
View on Github →feat(CategoryTheory/Monoidal): Hopf monoids (#13317)
Defines Hopf monoids in a braided category.
Proves two facts (antipode is an antihomomorphism, morphisms intertwine antipode) that are not yet proved for unbundled Hopf algebras. Once we prove Hopf_ (ModuleCat R)
is equivalent to HopfAlgebraCat
(having defined that!), we will get those two facts for free.
We should also check later that Hopf_ C
in a cartesian monoidal category is equivalent GroupObject_ C
(being defined independently elsewhere).