D型箭图的有界导出范畴的Frobenius-Perron维数

The Frobenius-Perron dimension of the bounded derived category of type-D quivers

设M是D型箭图的一个不可分解表示, s是一个整数,[s]表示范畴中的平移函子.本文研究一类D型箭图的表示范畴及其有界导出范畴的不可分解表示的砖块集,给出这类D型箭图的不可分解表示M与M[s]的Frobenius-Perron维数.

Let M be an indecomposable representation of type-D quiver,s be an integer,and[s]be the suspension functor.In this paper,we study the brick sets of the indecomposable representation of a class of type-D quivers in the representation category and bounded derived category,and give the Frobenius-Perron dimensions of M and M[s]of this type-D quiver.