Hall algebras and quantum symmetric pairs of Kac-Moody type II

Abstract

We extend the $ı$Hall algebra realization of $ı$quantum groups arising from quantum symmetric pairs, which establishes an injective homomorphism from the universal $ı$quantum group of Kac-Moody type to the $ı$Hall algebra associated to an arbitrary $ı$quiver (not necessarily virtually acyclic). This generalizes Lu-Wang's result.

arXiv comment17 pages, to appear in Acta Math Sin Engl Ser. arXiv admin note: text overlap with arXiv:2107.06023