Remarks on Hall algebras of triangulated categories
Quantum Algebra
2015-11-03 v2 Category Theory
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}.
Keywords
Cite
@article{arxiv.1208.2312,
title = {Remarks on Hall algebras of triangulated categories},
author = {Jie Xiao and Fan Xu},
journal= {arXiv preprint arXiv:1208.2312},
year = {2015}
}
Comments
19 pages