KMS Of Academy of mathematics and systems sciences, CAS
Twisted Gamma-Lie algebras and their vertex operator representations | |
Chen, Fulin1; Tan, Shaobin2; Wang, Qing2 | |
2015-11-15 | |
Source Publication | JOURNAL OF ALGEBRA |
ISSN | 0021-8693 |
Volume | 442Pages:202-232 |
Abstract | 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. |
Keyword | Twisted Gamma-Lie algebra Vertex operator representation |
DOI | 10.1016/j.jalgebra.2014.11.009 |
Language | 英语 |
Funding Project | NSF of China[11471268] ; NSF of China[11371024] ; Natural Science Foundation of Fujian Province[2013J01018] ; Fundamental Research Funds for the Central University[2013121001] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics |
WOS ID | WOS:000362146600012 |
Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/20881 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China |
Recommended Citation 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. |
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