论文标题

霍尔代数和量子对称对kac-moody型

Hall algebras and quantum symmetric pairs of Kac-Moody type

论文作者

Lu, Ming, Wang, Weiqiang

论文摘要

我们将$ \ imath $ hall代数的结构从acyclic扩展到任意$ \ imath $ Quivers,其中$ \ imath $ Quiver代数是无限二维的1-Gorenstein。然后,我们从量子对称对到$ \ imath $ hall代数与几乎是acyclic $ \ imath $ quiver相关的$ \ imath $ hall elgebra建立了来自通用$ \ imath $量子类型的注射式同态。

We extend our $\imath$Hall algebra construction from acyclic to arbitrary $\imath$quivers, where the $\imath$quiver algebras are infinite-dimensional 1-Gorenstein in general. Then we establish an injective homomorphism from the universal $\imath$quantum group of Kac-Moody type arising from quantum symmetric pairs to the $\imath$Hall algebra associated to a virtually acyclic $\imath$quiver.

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