2011Wuhan University Journal of Natural SciencesRequires access

A representation of sl(2;C) on clifford algebra of even dimension

Fuli He, Jinyuan Du, Ying Wang

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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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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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Available 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.

Key concepts: Clifford algebra, Classification of Clifford algebras, Algebra over a field, Mathematics, Dimension (graph theory), Geometric algebra, Clifford analysis, Representation (politics)

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