Remarks on Hall algebras of triangulated categories

Jie Xiao, Fan Xu
2015 Kyoto Journal of Mathematics  
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.
doi:10.1215/21562261-2871803 fatcat:fkh7nbs5ejfthmic3bf2yiwa7a