Co-Point Modules Over Frobenius Koszul Algebras

Let A be a Frobenius Koszul algebra such that its Koszul dual A! is a quantum polynomial algebra. Co-point modules over A were defined as dual notion of point modules over A! with respect to the Koszul duality. In this article, we will see that various important functors between module categories over A used in representation theory of finite dimensional algebras send co-point modules to co-point modules. As a consequence, we will show that if (E, ) is a geometric pair associated to A!, then the map :EE is an automorphism of the point scheme E of A!, so that there is a bijection between isomorphism classes of left point modules over A! and those of right point modules over A!.