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arXiv · 1505.04980

Tensor products of higher almost split sequences

Andrea Pasquali
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Abstract

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.

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BibTeXRIS

Andrea Pasquali. 2015-05-19. Tensor products of higher almost split sequences. https://doi.org/10.1016/j.jpaa.2016.07.010

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