论文标题
K理论厅代数，量子组和超级量子组
K-theoretic Hall algebras, quantum groups and super quantum groups
论文作者
论文摘要
我们首先证明，仿射类型的前体代数的K理论厅代数与量子环形量子组的正半同构是同构。一个必不可少的步骤是为了变形K理论厅代数，因此在某些多项式亚代词上，变形不含扭转。接下来，我们将A型的超级环形量子群与具有潜力的震颤的K-Type Halke代数进行比较，它们是使用某些Landau-Ginzburg模型的Grothendieck类别定义的。
We first prove that the K-theoretic Hall algebra of a preprojective algebra of affine type is isomorphic to the positive half of a quantum toroidal quantum group. An essential step consists to deform the K-theoretic Hall algebra so that the deformation is torsion free over some polynomial subalgebra. Next, we compare super toroidal quantum groups of type A with K-theoretic Hall algebras of quivers with potential, which are defined using the Grothendieck groups of categories of singularities of some Landau-Ginzburg models.
