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arXiv · 2008.03199

On abelian subcategories of triangulated categories

Markus Linckelmann
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Abstract

The stable module category of a selfinjective algebra is triangulated, but need not have any nontrivial $t$-structures, and in particular, full abelian subcategories need not arise as hearts of a $t$-structure. The purpose of this paper is to investigate full abelian subcategories of triangulated categories whose exact structures are related, and more precisely, to explore relations between invariants of finite-dimensional selfinjective algebras and full abelian subcategories of their stable module categories.

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Markus Linckelmann. 2020-08-07. On abelian subcategories of triangulated categories. https://arxiv.org/abs/2008.03199

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