Categorical aspects of Hopf algebras. (Q2900368)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Categorical aspects of Hopf algebras. |
scientific article; zbMATH DE number 6059390
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Categorical aspects of Hopf algebras. |
scientific article; zbMATH DE number 6059390 |
Statements
23 July 2012
0 references
categories of comodules
0 references
categories of modules
0 references
bialgebras
0 references
Hopf algebras
0 references
Hopf modules
0 references
bimonads
0 references
Hopf monads
0 references
Categorical aspects of Hopf algebras. (English)
0 references
The paper is a survey and has the intention to present techniques and results from module and category theory that lead to a better understanding of coalgebraic and Hopf algebra structures. It is recalled how the \(\sigma\)-categories play a crucial role in identifying categories of comodules over coalgebras as full (sub)categories of modules, and it is explained how the Hopf module theory over bialgebras (Hopf algebras) can be extended to bimonads (Hopf monads), respectively.NEWLINENEWLINEFor the entire collection see [Zbl 1222.58002].
0 references
