仿射型A扩张辫群的范畴作用
Categorical action of the extended braid group of affine type A
摘要：
利用一个循环辫的辫代数，构造了仿射型A的扩张辫群在其生成的投射模的有界同伦范畴上的一个忠实范畴作用。该代数是三阶的，我们确定的三阶维数空间的态射这一类的相交数来自拓扑起源的群体。
英文摘要：
Using a quiver algebra of a cyclic quiver, we construct a faithful categorical action of the extended braid group of affine type A on its bounded homotopy category of finitely generated projective modules. The algebra is trigraded and we identify the trigraded dimensions of the space of morphisms of this category with intersection numbers coming from the topological origin of the group.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
