CONJUGACY CLASSIFICATION CARTAN SUBGROUPS OF L-GROUPS  

作　　者：侯自新 

机构地区：[1]Department of Mathematics, Nankai University, Tianjin 300071, PRC

出　　处：《Chinese Science Bulletin》1992年第1期6-8,共3页

基　　金：Project supported in part by the National Natural Science Foundation of China and K. C. Wong Education Foundation.

摘　　要：Let G be a connected complex reductive algebraic groups. The dual group ~LG^0 of G is an algebraic group whose simple root system π~v is the dual of the simple root system π of G and whose characteristic lattice is just the dual lattice X_*(T) of the characteristic lattice X~*(T)of G, where T is a given maximal torus of G and the simple root system π corresponds to a Borel subgroup B containing T. For the detail of the definition of a dual group see Ref. [1].<正> Let G be a connected complex reductive algebraic groups. The dual group ~LG^0 of G is an algebraic group whose simple root system π~v is the dual of the simple root system π of G and whose characteristic lattice is just the dual lattice X_*(T) of the characteristic lattice X~*(T)of G, where T is a given maximal torus of G and the simple root system π corresponds to a Borel subgroup B containing T. For the detail of the definition of a dual group see Ref. [1].

关 键 词：REDUCTIVE GROUP L-group CARTAN subgroup. 

分 类 号：N[自然科学总论]