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Some categories of modules for toroidal Lie algebras
Guo, Hongyan ; Tan, Shaobin ; Wang, Qing ; Wang Q(王清) ; Tan SB(谭绍滨)
刊名http://dx.doi.org/10.1016/j.jalgebra.2013.11.022
2014-03-01
英文摘要NSF of China [10931006, 11371024]; PhD Programs Foundation, of Ministry of Education of China [20100121110014]; Natural Science Foundation of Fujian Province [2013J01018]; Fundamental Research Funds for the Central University [2013121001]; In this paper, we use basic formal variable techniques to study certain categories of modules for the toroidal Lie algebra T. More specifically, we define and study two categories epsilon(T) and C-T of T-modules using generating functions, where epsilon(T) is proved to contain the evaluation modules while C-T contains certain restricted p-modules, the evaluation modules, and their tensor product modules. Furthermore, we classify the irreducible integrable modules in categories epsilon(T) and C-T. (C) 2013 Elsevier Inc. All rights reserved.
语种英语
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
内容类型期刊论文
源URL[http://dspace.xmu.edu.cn/handle/2288/91364]  
专题数学科学-已发表论文
推荐引用方式
GB/T 7714
Guo, Hongyan,Tan, Shaobin,Wang, Qing,et al. Some categories of modules for toroidal Lie algebras[J]. http://dx.doi.org/10.1016/j.jalgebra.2013.11.022,2014.
APA Guo, Hongyan,Tan, Shaobin,Wang, Qing,王清,&谭绍滨.(2014).Some categories of modules for toroidal Lie algebras.http://dx.doi.org/10.1016/j.jalgebra.2013.11.022.
MLA Guo, Hongyan,et al."Some categories of modules for toroidal Lie algebras".http://dx.doi.org/10.1016/j.jalgebra.2013.11.022 (2014).
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