A Representation of sl(2;C) on Clifford Algebra of Even Dimension

作     者：HE Fuli DU Jinyuan WANG Ying 

作者机构：School of Mathematics Science and Computing TechnologyCentral South University Changsha 410083 Hunan China School of Mathematics and Statistics Wuhan UniversityWuhan 430072 Hubei China School of Statistics and Mathematics Zhongnan Universityof Economics and Law Wuhan 430073 Hubei China 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：2011年第16卷第6期

页      面：461-464页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China(10871150, 11001273) the Freedom Explore Program of Central South University 

主　　题：Clifford algebra Lie algebra representation 

摘      要：Under the foundation of Hermitean Clifford setting, we define the fundamental operators for complex Clifford algebra valued fimctions, obtain some properties of these operators, and discuss a representation of sl（2; C ） on Clifford algebra of even dimension.