Abstract
The submodule structure of the SL(2,k) Weyl modules was originally described by Carter and Cline [2]. Subsequently, Deriziotis [4] provided a very nice treatment of the result using hyperalgebra techniques. The topic was addressed again by Cline in an unpublished manuscript [3]. This paper revisits the problem from a geometric perspective. The G-module of global sections of an induced line bundle on G/B is the vector space dual of a Weyl module. We study these line bundles by decomposing their direct images under the Frobenius morphism. This leads to a new geometric interpretation of the structure of the SL(2,k) Weyl modules.
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.
