Abstract
In this paper, we consider the induced modules ∇ and the Weyl modules Δ for the algebraic group G=SL(2,K) where K is an algebraically closed field of characteristic p>0. We determine the G-modules Hi(G1,∇(s)⊗∇(t)) for all i⩾0, where G1 is the first Frobenius kernel of G. We then use it to find the Ext1-spaces between twisted tensor products of Weyl modules and induced modules for G. Moreover, we describe explicitly the non-split extensions corresponding to ∇'s.
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.
