A representation of sl(2;C) on clifford algebra of even dimension
Fuli He, Jinyuan Du, Ying Wang
Abstract
Fuli He, Jinyuan Du, Ying Wang
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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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.
Key concepts: Clifford algebra, Classification of Clifford algebras, Algebra over a field, Mathematics, Dimension (graph theory), Geometric algebra, Clifford analysis, Representation (politics)