Simple generalized restricted modules for graded Lie algebras of Cartan type  

作　　者：SHU Bin Institute of Applied Mathematics & Physics, Shanghai Maritime University, Shanghai 200135, China 

出　　处：《Chinese Science Bulletin》1998年第16期1336-1340,共5页

基　　金：ThisworkwassupportedbytheNationalNaturalScienceFounda tionofChina (GrantNo .96 0 10 11)

摘　　要：Let %L=X(m:n) (2), X∈{W,S,H,K}% be a simple graded Lie algebra of Cartan type over a field %F% of characteristic p>3. With the aid of Farnsteiner’s generalized reduced Verma module, a connection between the simple GR modules and simple graded modules of L is eastablished.Let L = X (m:n)(2), Xε |W, S, H, K | be a simple graded Lie algebra of Cartan type over a fieldF of characteristic p> 3. With the aid of Farnsteiner’s generalized reduced Verma module, a connection between the simple GR modules and simple graded modules of L is eastablished.

关 键 词：LIE algebra of CARTAN TYPE GENERALIZED RESTRICTED MODULE GENERALIZED reduced Verma module. 

分 类 号：O152.5[理学—数学]