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Hall algebras associated to triangulated categories

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arxiv math/0608144 v4 pith:IZ2N2JCI submitted 2006-08-06 math.QA math.CT

Jie Xiao , Fan Xu This is my paper · ORCID
classification math.QAmath.CT
keywords triangulatedalgebrasassociatedaxiomcategoriescategorycitecondition
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By counting with triangles and the octohedral axiom, we find a direct way to prove the formula of To\"en in \cite{Toen2005} for a triangulated category with (left) homological-finite condition.

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  1. Hall Geometry and Auslander-Reiten Quiver

    math.AG 2026-06 unverdicted novelty 5.0 of 10

    Motivic Hall algebra geometry and moduli stack correspondences recover Auslander-Reiten sequences and the Auslander-Reiten quiver.

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