Homogeneous vector bundles over abelian varieties
By Michel Brion
Appears in collection : International workshop on geometric quantization and applications / Colloque international "Quantification géométrique et applications"
The objects of the talk are the translation-invariant vector bundles over an abelian variety. We will present a representation-theoretic description of these vector bundles, which displays a remarkable analogy with finite-dimensional representations of a compact connected Lie group: the weight lattice is replaced with the dual abelian variety, the Weyl group with the Galois group of the ground field...
