Sections of homogeneous bundles

Abstract

In this work we give a method for computing sections of homogeneous vector bundles on any rational homogeneous variety G/P of type ADE. Our main tool is the equivalence of categories between homogeneous vector bundles on G/P and finite dimensional representations of a given quiver with relations. Our result generalizes the work of Ottaviani and Rubei [OR06].

arXiv commentpart of the author's PhD thesis

References in corpus (1)

• On simplicity and stability of tangent bundles of rational homogeneous varieties