G-exceptional vector bundles on P2 and representations of quivers

Abstract

It is known that the category of homogeneous bundles on P 2 is equivalent to the category of representations of a quiver with relation. In this paper we make use of this equivalence to describe a family of G-exceptional bundles on P 2 and to prove that they are stable. We also study the G-exceptionality of Fibonacci bundles on P 2 .