| Title:
|
Oplax Hopf Algebras (English) |
| Author:
|
Buckley, Mitchell |
| Author:
|
Fieremans, Timmy |
| Author:
|
Vasilakopoulou, Christina |
| Author:
|
Vercruysse, Joost |
| Language:
|
English |
| Journal:
|
Higher Structures |
| ISSN:
|
2209-0606 |
| Volume:
|
5 |
| Issue:
|
1 |
| Year:
|
2021 |
| Pages:
|
71-120 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce the notion of an oplax Hopf monoid in any braided monoidal bicategory, generalizing that of a Hopf monoid in a braided monoidal category in an appropriate way. We show that Hopf $\mathcal{V}$-categories introduced in [4] are a particular type of oplax Hopf monoids in the monoidal bicategory ${\bf Span}|\mathcal{V}$ described in [5]. Finally, we introduce Frobenius $\mathcal{V}$-categories as the Frobenius objects in the same monoidal bicategory. (English) |
| Keyword:
|
Hopf algebras |
| Keyword:
|
Frobenius algebras |
| Keyword:
|
bialgebras |
| Keyword:
|
monoidal bicategories |
| Keyword:
|
enriched categories |
| MSC:
|
16T05 |
| MSC:
|
16T10 |
| MSC:
|
18D20 |
| MSC:
|
18M05 |
| MSC:
|
18N10 |
| idZBL:
|
Zbl 1494.16033 |
| idMR:
|
MR4367218 |
| DOI:
|
10.21136/HS.2021.03 |
| . |
| Date available:
|
2026-03-13T05:30:25Z |
| Last updated:
|
2026-03-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153435 |
| . |
| Reference:
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