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From triangulated categories to abelian categories--cluster tilting in a general framework

Steffen Koenig·Bin Zhu
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Abstract

We put cluster tilting in ageneral framework by showing that any quotient of a triangulated category modulo a tilting subcategory (that is, a maximal one-orthogonal subcategory) carries an abelian structure. These abelian quotients turn out to be module categories of Goreisten algebras of dimension at most one.

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Steffen Koenig, Bin Zhu. 2007-05-23. From triangulated categories to abelian categories--cluster tilting in a general framework. https://arxiv.org/abs/math/0605100

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