A note on principal parts on projective space and linear representations
2005 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 133, no 2, 349-355 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2005. Vol. 133, no 2, 349-355 p.
homogeneous spaces, homogeneous vector bundles, principal parts, linear representations, splitting type
IdentifiersURN: urn:nbn:se:kth:diva-37856DOI: 10.1090/S0002-9939-04-07453-2ISI: 000224695400005ScopusID: 2-s2.0-13544275893OAI: oai:DiVA.org:kth-37856DiVA: diva2:435344
QC 201108182011-08-182011-08-182011-08-18Bibliographically approved