FinVect
In the mathematical field of category theory, FinVect is the category whose objects are all finite-dimensional vector spaces and whose morphisms are all linear maps between them.
Properties
FinVect has two monoidal products:- the direct sum of vector spaces, which is both a categorical product and a coproduct,
- the tensor product, which makes FinVect a compact closed category.
Examples
Group representations are functors from groups, seen as one-object categories, into FinVect.
DisCoCat models are monoidal functors from a pregroup grammar to '''FinVect.'''