Twisted Gamma-Lie algebras and their vertex operator representations

doi:10.1016/j.jalgebra.2014.11.009

	Twisted Gamma-Lie algebras and their vertex operator representations
	Chen, Fulin 1; Tan, Shaobin 2; Wang, Qing 2
刊名	JOURNAL OF ALGEBRA
	2015-11-15
卷号	442 页码:202-232
关键词	Twisted Gamma-Lie algebra Vertex operator representation
ISSN号	0021-8693
DOI	10.1016/j.jalgebra.2014.11.009
英文摘要	Let Gamma be a generic subgroup of the multiplicative group C* of nonzero complex numbers. We define a class of Lie algebras associated to Gamma, called twisted P-Lie algebras, which are natural generalizations of the twisted affine Lie algebras. Starting from an arbitrary even sublattice Q of Z(N) and an arbitrary finite order isometry of ZN preserving Q, we construct a family of twisted P-vertex operators acting on generalized Fock spaces which afford irreducible representations for certain twisted F-Lie algebras. As an application, this recovers a number of known vertex operator realizations for infinite dimensional Lie algebras, such as twisted affine Lie algebras, extended affine Lie algebras of type A, trigonometric Lie algebras of series A and B, unitary Lie algebras, and BC-graded Lie algebras. (C) 2014 Elsevier Inc. All rights reserved.
资助项目	NSF of China[11471268] ; NSF of China[11371024] ; Natural Science Foundation of Fujian Province[2013J01018] ; Fundamental Research Funds for the Central University[2013121001]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000362146600012
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/20880]
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Qing
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
推荐引用方式 GB/T 7714	Chen, Fulin,Tan, Shaobin,Wang, Qing. Twisted Gamma-Lie algebras and their vertex operator representations[J]. JOURNAL OF ALGEBRA,2015,442:202-232.
APA	Chen, Fulin,Tan, Shaobin,&Wang, Qing.(2015).Twisted Gamma-Lie algebras and their vertex operator representations.JOURNAL OF ALGEBRA,442,202-232.
MLA	Chen, Fulin,et al."Twisted Gamma-Lie algebras and their vertex operator representations".JOURNAL OF ALGEBRA 442(2015):202-232.