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A representation of sl(2;C) on clifford algebra of even dimension
Authors:Fuli He  Jinyuan Du  Ying Wang
Institution:HE Fuli1,DU Jinyuan2,WANG Ying3 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,3.School of Statistics and Mathematics,Zhongnan University of Economics and Law,Wuhan 430073
Abstract:Under the foundation of Hermitean Clifford setting, we define the fundamental operators for complex Clifford algebra valued functions, obtain some properties of these operators, and discuss a representation of sl(2;C) on Clifford algebra of even dimension.
Keywords:Clifford algebra  Lie algebra  representation  
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