Irreducible modules over the derivation algebras of rational quantum tori

doi:10.1016/j.jalgebra.2011.05.029

	Irreducible modules over the derivation algebras of rational quantum tori
	Liu, Gengqiang 1; Zhao, Kaiming 2,3
刊名	JOURNAL OF ALGEBRA
	2011-08-15
卷号	340 期号:1 页码:28-34
关键词	Rational quantum torus Witt algebra Weight module Irreducible module
ISSN号	0021-8693
DOI	10.1016/j.jalgebra.2011.05.029
英文摘要	Let g be the derivation Lie algebra of a rational quantum torus C(q) where q = (qij)(dxd) and all qij are roots of unity. In Lin and Tan (2004) [LT], a class of uniformly bounded irreducible weight modules over g were constructed, which generalized the construction given by Shen (1986) [Sh], Larsson (1992) [L], and Eswara Rao (1996) [E]. These modules look mysterious because of their very unclear weight sets. In this note, we use very simple methods with a very short proof to re-establish all (even stronger) results in Lin and Tan (2004) [LT] and make these mysterious modules crystal clear. A necessary and sufficient condition for two such modules to be isomorphic is also given. (C) 2011 Elsevier Inc. All rights reserved.
资助项目	NSERC ; NSF of China[10871192]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000292533200003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/13042]
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Gengqiang
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 3.Hebei Normal Teachers Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Hebei, Peoples R China
推荐引用方式 GB/T 7714	Liu, Gengqiang,Zhao, Kaiming. Irreducible modules over the derivation algebras of rational quantum tori[J]. JOURNAL OF ALGEBRA,2011,340(1):28-34.
APA	Liu, Gengqiang,&Zhao, Kaiming.(2011).Irreducible modules over the derivation algebras of rational quantum tori.JOURNAL OF ALGEBRA,340(1),28-34.
MLA	Liu, Gengqiang,et al."Irreducible modules over the derivation algebras of rational quantum tori".JOURNAL OF ALGEBRA 340.1(2011):28-34.