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	Classification of irreducible weight modules over higher rank Virasoro algebras
	Lu, Rencai ; Zhao, Kaiming
	2006
关键词	Virasoro algebra generalized Virasoro algebra weight module HARISH-CHANDRA MODULES GENERALIZED WITT ALGEBRAS SIMPLE LIE-ALGEBRAS VERMA MODULES
英文摘要	Let G be a rank n additive subgroup of C and Vir[G] the corresponding Virasoro algebra of rank n. In the present paper, irreducible weight modules with finite dimensional weight spaces over Vir[G] are completely determined. There are two different classes of them. One class consists of simple modules of intermediate series whose weight spaces are all I-dimensional. The other is constructed by using intermediate series modules over a Virasoro subalgebra of rank n - 1. The classification of such modules over the classical Virasoro algebra was obtained by O. Mathieu in 1992 using a completely different approach. (C) 2005 Elsevier Inc. All rights reserved.; Mathematics; SCI(E); 0; ARTICLE; 2; 630-656; 206
语种	英语
出处	SCI
出版者	数学进展
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/251290]
专题	数学科学学院
推荐引用方式 GB/T 7714	Lu, Rencai,Zhao, Kaiming. Classification of irreducible weight modules over higher rank Virasoro algebras. 2006-01-01.

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