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A note on principal parts on projective space and linear representations
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
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
Abstract [en]

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.
Keyword [en]
homogeneous spaces, homogeneous vector bundles, principal parts, linear representations, splitting type
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-37856DOI: 10.1090/S0002-9939-04-07453-2ISI: 000224695400005Scopus ID: 2-s2.0-13544275893OAI: oai:DiVA.org:kth-37856DiVA: diva2:435344
Note
QC 20110818Available from: 2011-08-18 Created: 2011-08-18 Last updated: 2017-12-08Bibliographically approved

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