Induction-by-stages of Dixmier algebras and orbit datum and its application  

作　　者：LIANG Ke Department of Mathematics, Nankai University, Tianjin 300071, China 

出　　处：《Chinese Science Bulletin》1998年第10期818-820,共3页

基　　金：theNationalNaturalScienceFoundationofChina (GrantNo .192 310 30 1)

摘　　要：The purpose of the present note is to prove that the parabolic inductions of the orbit datum and Dixmier algebras can be induced by stages. And as an appliction, we have proved that for SO(2n+1, C), SP(2n, C), F\-4 and G\-2, the inductions of complete prime Abel orbit datum are independent of the Choice of parabolic subgroups.The purpose of the present note is to prove that the parabolic inductions of the orbit datum and Dixmier algebras can be induced by stages. And as an appliction, we have proved that forSO(2n + 1,C),SP(2n. C).F 4 andG 2, the inductions of complete prime Abel orbit datum are independent of the Choice of parabolic subgroups.

关 键 词：dixmier ALGEBRA ORBIT data representation of LIE group. 

分 类 号：O152[理学—数学]