An explicit construction of indecomposable vector bundles over an elliptic curve
In the celebrated paper “Vector bundles over an elliptic curve,” M. Atiyah classifies indecomposable vector bundles, namely he provides a bijection between indecomposable bundles of arbitrary rank
and degree
(denoted by
) and
(where
). The latter is described explicitly: there is a distinguished element
such that for any other …