Search

Let H be a closed subgroup of a linear algebraic group G defined over a field of characteristic zero. There is an equivalence of categories between the category of linear finite-dimensional representations of H, and the category of finite rank G-homogeneous vector bundles on G/H. In this paper we will study this correspondence for the sheaves of principal parts on projective space, and we describe the representation corresponding to the principal parts of a line bundle on projective space., QC 20110818

We construct a substitute for principal parts for systems of algebras with a natural local presentation by free modules. The main application of the theory is to families of locally complete intersection curves. In that case we obtain the sheaves of E steves. The advantage of the greater generality is that it makes the theory much more transparent. It also makes it possible to avoid many technical difficulties., QC 20100525

NR 20140805

NR 20140805

NR 20140805

NR 20140805