Classification and Central Extensions of a Class of Lie Algebras of Block Type
Received:May 04, 2015  Revised:March 18, 2016
Key Words: Block type Lie algebras   central extension   classification up to isomorphism  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11201253; 11401570), the Natural Science Foundation of Jiangsu Province (Grant No.\,BK20140177) and the Scientific Research Projects (Youth Project) of Xuzhou Institute of Technology (Grant No.XKY2013315).
Author NameAffiliation
Xiu HAN School of Mathematics and Physical Science, Xuzhou Institute of Technology, Jiangsu 221008, P. R. China 
Wei WANG School of Mathematics and Computer Science, Ningxia University, Ningxia 750021, P. R. China 
Chunguang XIA Department of Mathematics, China University of Mining and Technology, Jiangsu 221116, P. R. China 
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Abstract:
      In this paper, we determine the classification up to isomorphism and the central extensions of a class of Lie algebras ${\cal B}(q)$ of Block type, where $q$ is a non-zero complex number. Our results generalize some previous results.
Citation:
DOI:10.3770/j.issn:2095-2651.2016.03.005
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