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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