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	Whittaker modules for the Schr¨odinger-Virasoro algebra
	Xiufu Zhang ; Shaobin Tan ; Haifeng Lian ; Tan SB(谭绍滨)
	2010-08
关键词	Schr¨odinger-Virasoro algebra Whittaker vector Whittaker module induced module irreducible module
英文摘要	In this paper, Whittaker modules for the Schr¨odinger-Virasoro algebra sv are defined. The Whittaker vectors and the irreducibility of the Whittaker modules are studied. sv has a triangular decomposition according to the Cartan algebra h : sv = sv− ⊕ h ⊕ sv+. For any Lie algebra homomorphism : sv+ → C, we can define Whittaker modules of type . When is nonsingular, the Whittaker vectors , the irreducibility and the classification of Whittaker modules are completely determined. When is singular, by constructing some special Whittaker vectors, we find that the Whittaker modules are all reducible. Moreover, we get some more precise results for special .; National Natural Science Foundation of China (No. 10671160)
语种	英语
出版者	Journal of Mathematical Physics
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/6514]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Xiufu Zhang,Shaobin Tan,Haifeng Lian,et al. Whittaker modules for the Schr¨odinger-Virasoro algebra[J],2010.
APA	Xiufu Zhang,Shaobin Tan,Haifeng Lian,&谭绍滨.(2010).Whittaker modules for the Schr¨odinger-Virasoro algebra..
MLA	Xiufu Zhang,et al."Whittaker modules for the Schr¨odinger-Virasoro algebra".(2010).

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