[Merged by Bors] - feat(CategoryTheory/Monoidal): convolution monoid#13313
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[Merged by Bors] - feat(CategoryTheory/Monoidal): convolution monoid#13313
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PR summary 1256a162f9Import changes for modified filesNo significant changes to the import graph Import changes for all files
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joelriou
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Jun 20, 2024
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Thanks! bors merge |
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Pull request successfully merged into master. Build succeeded: |
mattrobball
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Jul 5, 2024
I'll use this shortly to prove basic properties of hopf monoids. - [x] depends on: #13316 Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr>
mathlib-bors bot
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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). - [x] depends on: #13313 - [x] depends on: #13312 (probably doesn't actually depend, but I don't want to sort out the git history now) - [x] depends on: #13315 Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr>
mathlib-bors bot
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Aug 14, 2024
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). - [x] depends on: #13313 - [x] depends on: #13312 (probably doesn't actually depend, but I don't want to sort out the git history now) - [x] depends on: #13315 Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr>
bjoernkjoshanssen
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Sep 9, 2024
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). - [x] depends on: #13313 - [x] depends on: #13312 (probably doesn't actually depend, but I don't want to sort out the git history now) - [x] depends on: #13315 Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr>
bjoernkjoshanssen
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Sep 9, 2024
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). - [x] depends on: #13313 - [x] depends on: #13312 (probably doesn't actually depend, but I don't want to sort out the git history now) - [x] depends on: #13315 Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr>
bjoernkjoshanssen
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Sep 12, 2024
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). - [x] depends on: #13313 - [x] depends on: #13312 (probably doesn't actually depend, but I don't want to sort out the git history now) - [x] depends on: #13315 Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr>
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I'll use this shortly to prove basic properties of hopf monoids.