A skew-duoidal Eckmann-Hilton argument and quantum categories (Q2254583)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A skew-duoidal Eckmann-Hilton argument and quantum categories |
scientific article |
Statements
A skew-duoidal Eckmann-Hilton argument and quantum categories (English)
0 references
5 February 2015
0 references
This paper establishes an equivalence between opmonoidal monads on a lax-braided monoidal category and certain skew duoidal structures. This result can be viewed as skew version of the Eckmann-Hilton argument and its generalizations. As an application, the authors characterize quantum categories as monads in certain monoidal bicategories.
0 references
bialgebroid
0 references
fusion operator
0 references
quantum category
0 references
monoidal bicategory
0 references
duoidal category
0 references
monoidale
0 references
duoidale
0 references
skew-monoidal category
0 references
comonoid
0 references
Hopf monad
0 references
