基本截面代数的Cartan矩阵

Cartan matrix of basic truncated algebra

设kZn是域k上n个顶点的基本圈代数,A=kZn/Jd是d-次基本截面代数,计算了基本截面代数A的Cartan矩阵C,并给出Cartan矩阵可逆的充分必要条件.

Let kZn be the basic loop algebra with n verlices, A=kZn/Jd be the d-truncated algebra. The aim of this paper is to calculate the Cartan matrix C of A and give a sufficient and necessary condiction for C being invertible.