A representation of sl(2;C) on clifford algebra of even dimension |
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Authors: | Fuli He Jinyuan Du Ying Wang |
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Affiliation: | 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 |
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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. |
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Keywords: | Clifford algebra Lie algebra representation |
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