D_n型路代数本性倾斜模的个数

The Number of Characteristic Tilting Modules Over Path Algebras of D_n

给出Dn型路代数的本性倾斜模的定义,以及其个数的计算公式.即g(n)=8f(n-2)+(4n-15)f(n-3)+4n-Σ4i=1(n-3-i)f(i)f(n-3-i),n≥5,其中f(n)为An型路代数A的倾斜模的个数.

In this paper, characteristic tilting modules over path alyebras of Dn is defined. It is proved that its number is g（n）=8f（n-2）＋（4n-15）f（n-3）＋4∑ ^n-4 i=1;（n-3-i）f（i）,（n-3-i）,n≥5,where f（n） is the number of tilting roodules over path algebras of An.