Remarks on Hall algebras of triangulated categories
Abstract
We introduce the notion of the Drinfeld dual of an algebra and show that Hall algebras defined by Kontsevich-Soibelman in KS are the Drinfeld duals of derived Hall algebras defined in Toen2005 and 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 KS.
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