  We investigate how the higher almost split sequences over a tensor product of
algebras are related to those over each factor. Herschend and Iyama gave a
precise criterion for when the tensor product of an $n$-representation finite
algebra and an $m$-representation finite algebra is $(n+m)$-representation
finite. In this case we give a complete description of the higher almost split
sequences over the tensor product by expressing every higher almost split
sequence as the mapping cone of a suitable chain map and using a natural notion
of tensor product for chain maps.
