The paper introduces semiadditive 2-categories and 2-biproducts, uses them to type matrices and tensors with up to four indices as morphisms, and works out the operations in the 2-category 2Vec.
Handbook of categorical Algebra: volume 2, Categories and Structures
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CT 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Typing Tensor Calculus in 2-Categories (I)
The paper introduces semiadditive 2-categories and 2-biproducts, uses them to type matrices and tensors with up to four indices as morphisms, and works out the operations in the 2-category 2Vec.