K-theoretic Hall algebras of quivers with potential as Hopf algebras

Abstract

For (Q, W ) a symmetric quiver with potential satisfying a Künnethtype condition, we construct (positive and negative) extensions of its K-theoretic Hall algebra which are bialgebras. In particular, there are bialgebra extensions of preprojective KHAs of a quiver Q and one can construct their Drinfeld double algebra.