Julian Kulshammer

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20162025

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math.RT2016

Prospecies of algebras I: Basic properties

Julian Külshammer

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 spec…

math.RT2016

The naive approach for constructing the derived category of a $d$ -abelian category fails

Gustavo Jasso, Julian Külshammer

Let $k$ be a field. In this short note we give an example of a $2$ -abelian $k$ -category, realized as a $2$ -cluster-tilting subcategory of the category $mod A$ of fi…

Prospecies of algebras I: Basic properties

The naive approach for constructing the derived category of a d-abelian category fails

The naive approach for constructing the derived category of a $d$ -abelian category fails