微分算子代数的一种不可约Harish-Chandra模的分类  

Classification of A Kind of Irreducible Harish-Chandra Modules over the Algebras of Differential Operators

作　　者：赵开明[1] 

机构地区：[1]中国科学院系统科学研究所,北京100080

出　　处：《数学学报（中文版）》1994年第3期332-337,共6页Acta Mathematica Sinica：Chinese Series

摘　　要：本文首先讨论了微分算子Ｌｉｅ代数的单性，然后确定出了微分算子Ｌｉｅ代数的权重数都是１的所有不可约Ｈａｒｉｓｈ－Ｃｈａｎｄｒａ模。In the present paper, the classification of irreducible Harish-Chandra modules over the associative algebra of differential operators is given, and then the classificiation of irreducible Harish-Chandra modules over the Lie algebra of differential operators with all weight spaces being 1-dimensional is also obtained.

关 键 词：不可约表示 H-C模 微分算子代数 

分 类 号：O155[理学—数学]