Given a quiver and its AR quiver expressed by dimension vector,how to find the tilting module of it?When we check it is a tilting module,we should computer the Hom and Ext functor and AR transtion from the AR quiver expressed by dimension vector,how to do it?
Assem's book:Elements of the Representation Theory of Associative Algebras Vol1,Chapter VI,example 2.8 is associated with this question,you can explain it as an example or give a new example.

