Abstract
Let H H be a closed subgroup of a linear algebraic group G G defined over a field of characteristic zero. There is an equivalence of categories between the category of linear finite-dimensional representations of H H , and the category of finite rank G G -homogeneous vector bundles on G / H 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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
