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The Cohomological Hall Algebras of a Preprojective Algebra with Symmetrizer

The Cohomological Hall Algebras of a Preprojective Algebra with Symmetrizer

Abstract This paper aims at a geometric realization of the Yangian of non-simply laced type in terms of quiver with potentials. For every quiver with symmetrizer, there is an extended quiver with superpotential, whose Jacobian algebra is the generalized preprojective algebra of Geiß, Leclerc, and Schröer (Inventiones Mathematicae 209 (1), …