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

作　　者：HE Fuli DU Jinyuan WANG Ying 

机构地区：[1]School of Mathematics Science and Computing Technology,Central South University, Changsha 410083, Hunan, China [2]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China [3]School of Statistics and Mathematics, Zhongnan Universityof Economics and Law, Wuhan 430073, Hubei, China

出　　处：《Wuhan University Journal of Natural Sciences》2011年第6期461-464,共4页武汉大学学报（自然科学英文版）

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

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.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.

关 键 词：Clifford algebra Lie algebra REPRESENTATION 

分 类 号：O175.5[理学—数学]