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

Yi-Yang Li ^[3] ; Bin Shu ^[1] ; Yu-Feng Yao ^[2]
1. [1] East China Normal University
  
  East China Normal University
  
  China
2. [2] Shanghai Maritime University
  
  Shanghai Maritime University
  
  China
3. [3] Shanghai University of Engineering Science (China)
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Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 4 ((April 2015) ), 2015, págs. 760-766
Idioma: inglés
DOI: 10.1016/j.jpaa.2014.04.028
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Resumen
- 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.