本文定义了管范畴上的一些算子,研究了它们的一些性质,给出了循环单列代数的Ringel-Hall代数H(T)的结构常数FM.N^L的一个计算公式,利用这些算子和这个公式,我们得到了其合成代数C(T)及半单模[L+i=1^n Si](l∈Z^+)在H(T)中的一些中心化子。事实上,它们是H(T)的中心元素,且是H(T)在其合成代数C(T)上代数无关的生成元。
In this paper, we define some operators on tubular category, and some properties of these operators have been studied. We give a formula of the structural constants FLy for Hall algebra of cyclic serial algebra. By using these operators and this formula, we get some centralizers of composition algebra C(T) and the simesimple module [L+i=1^n Si](l ∈ Z^+) in H(T). In fact, they are the central elements of H(T) and the algebraically independent generators of H(T) over C(T).