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arXiv · 1208.2312

Remarks on Hall algebras of triangulated categories

Jie Xiao·Fan Xu
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Abstract

We introduce the notion of the Drinfeld dual of an algebra and show that Hall algebras defined by Kontsevich-Soibelman in \cite{KS} are the Drinfeld duals of derived Hall algebras defined in \cite{Toen2005} and \cite{XX2006}. Moreover, we construct the motivic analogue of a derived Hall algebra and prove that it is isomorphic to the motivic Hall algebra constructed in \cite{KS}.

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Jie Xiao, Fan Xu. 2012-08-11. Remarks on Hall algebras of triangulated categories. https://doi.org/10.1215/21562261-2871803

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