Resumen de A necessary and sufficient condition for irreducibility of parabolic baby Verma modules of sl(4,k)

Yi-Yang Li, Bin Shu, Yu-Feng Yao

• Let G=SL(4,k)G=SL(4,k) be a connected algebraic group over an algebraically closed field k of prime characteristic p and g=Lie(G)=sl(4,k)g=Lie(G)=sl(4,k). In this paper, we study representations of gg with a p-character χ of standard Levi form. A necessary and sufficient condition for irreducibility of standard parabolic baby Verma gg-modules is obtained.