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Cohomological Hall algebra of a symmetric quiver

Cohomological Hall algebra of a symmetric quiver

In the paper \cite{KS}, Kontsevich and Soibelman in particular associate to each finite quiver $Q$ with a set of vertices $I$ the so-called Cohomological Hall algebra $\cH,$ which is $\Z_{\geq 0}^I$-graded. Its graded component $\cH_{\gamma}$ is defined as cohomology of Artin moduli stack of representations with dimension vector $\gamma.$ The …