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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Foundation item: Supported by the National Natural Science Foundation of China(10871150, 11001273) and the Freedom Explore Program of Central South University
Biography: HE Fuli, male, Ph. D, Lecturer, research direction: complex and hyper-complex analysis, Lie theory and representation theory.
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He, F., Du, J. & Wang, Y. A representation of sl(2;C) on clifford algebra of even dimension. Wuhan Univ. J. Nat. Sci. 16, 461–464 (2011). https://doi.org/10.1007/s11859-011-0781-4
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DOI: https://doi.org/10.1007/s11859-011-0781-4