Vertex operator representations of quantum tori at roots of unity

	Vertex operator representations of quantum tori at roots of unity
	Billig, Y ; Zhao, K
刊名	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
	2004-02-01
卷号	6 期号:1 页码:195-220
关键词	quantum torus Lie algebra vertex operator representation character formula irreducible module
ISSN号	0219-1997
英文摘要	As Lie algebra, we add the center c(1) (and the outer derivation d(1)) to the quantum torus C-q to give the extended torus Lie algebra (C) over cap (q) (and (C) over tilde (q) respectively). Before the present paper, only some level 1 vertex operator representations for some (C) over cap (q) (and (C) over tilde (q)) were constructed. In this paper, we first give vertex operator representations for gl(Ixinfinity) (C) where I is an arbitrary index set. By embedding some (C-q) over cap into gl(Ixinfinity) (C), we obtain a series of higher level vertex operator representations for (C-q) over cap and (C-q) over tilde. Most of these vertex operator representations yield irreducible highest weight modules over these (C-q) over tilde. Also their character formulas follow directly.
WOS研究方向	Mathematics
语种	英语
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号	WOS:000220412000006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/19534]
专题	中国科学院数学与系统科学研究院
通讯作者	Billig, Y
作者单位	1.Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China 3.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
推荐引用方式 GB/T 7714	Billig, Y,Zhao, K. Vertex operator representations of quantum tori at roots of unity[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2004,6(1):195-220.
APA	Billig, Y,&Zhao, K.(2004).Vertex operator representations of quantum tori at roots of unity.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,6(1),195-220.
MLA	Billig, Y,et al."Vertex operator representations of quantum tori at roots of unity".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 6.1(2004):195-220.