华东师范大学学报（自然科学版）Issue(3)：51-58,66,9.
广义Jacobson-Witt代数W(m;n)的I(χ)-约化表示
I(χ)-Reduced representations of generalized Jacobson-Witt algebras W(m; n)
李莎莎 1舒斌2
作者信息
- 1. 山东理工大学,数学与信息科学学院,山东,淄博255049
- 2. 华东师范大学,数学系,上海200062
- 折叠
摘要
Abstract
This paper studied the representations of graded Caftan type Lie algebra W(m; n) in characteristic P>2, by generalizing the arguments of Shu's for restricted Lie algebras W(m;1). Especially, the rank-reducing method exploited in the restricted case was extended to non-restricted case. The simple modules for W (m; n) with generalized p-character χ were described by reduction when χ was regular semisimple.关键词
阶化李代数/Cartan型/正则半单/loop代数Key words
graded Lie algebra/Cartan type/regular semisimple/loop algebra分类
数理科学引用本文复制引用
李莎莎,舒斌..广义Jacobson-Witt代数W(m;n)的I(χ)-约化表示[J].华东师范大学学报（自然科学版）,2008,(3):51-58,66,9.
