category with duals (list of them)
dualizable object (what they have)
ribbon category, a.k.a. tortile category
monoidal dagger-category?
The Picard groupoid of a monoidal category is the core of its full subcategory on those objects that are invertible objects under the tensor product. This inherits the monoidal structure from and hence becomes a 2-group. This is the Picard 2-group of .
In geometric contexts this is also called the Picard stack.
The decategorification of the Picard 2-group, hence the group of connected components, is the ordinary Picard group .
Last revised on June 18, 2020 at 06:27:31. See the history of this page for a list of all contributions to it.