Some representations of nongraded Lie algebras of generalized Witt type

被引:14
|
作者
Su, YC [1 ]
Zhou, JH
机构
[1] Shanghai Jiao Tong Univ, Dept Math Appl, Shanghai 200030, Peoples R China
[2] Southeast Univ, Dept Appl Math, Nanjing 210096, Peoples R China
关键词
D O I
10.1006/jabr.2001.8978
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In a recent paper by Xu, some simple Lie algebras of generalized Cartan type were constructed, using the mixtures of grading operators and down-grading operators, Among them are the simple Lie algebras of generalized Witt type, which are in general nongraded and have no torus. In this paper, some representations of these simple Lie algebras of generalized Witt type are presented. (C) 2001 Elsevier Science.
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页码:721 / 738
页数:18
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