Abstract
We introduce the representation category C(G) for a connected reductive algebraic group G which is defined over a finite field Fq of q elements. We show that this category has many good properties for G=SL2(F¯q). In particular, it is an abelian category and a highest weight category. Moreover, we classify the simple objects in C(G) for G=SL2(F¯q).
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.
