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arXiv · 1608.01934

Prospecies of algebras I: Basic properties

Julian Külshammer
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Abstract

In this paper, we generalise part of the theory of hereditary algebras to the context of prospecies of algebras. Here, a prospecies is a generalisation of Gabriel's concept of species gluing algebras via projective bimodules along a quiver to obtain a new algebra. This provides a categorical perspective on a recent paper by Gei\ss, Leclerc, and Schr\"oer. In particular, we construct a corresponding preprojective algebra, and establish a theory of a separated prospecies yielding a stable equivalence between certain functorially finite subcategories.

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Julian Külshammer. 2016-08-05. Prospecies of algebras I: Basic properties. https://arxiv.org/abs/1608.01934

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