Clifford Algebra
Rui Wang, Zhi Derui
Abstract
Rui Wang, Zhi Derui
Abstract
Clifford Algebra is also known as multi-vector calculus, it has more advantages than the usual mathematical tools like vector, tensor, spinor and exterior differential form. This text introduces the basic knowledge and complex number property of Clifford algebra from the two-dimensional geometric space to the three-dimensional geometric space, showing the superiority of Clifford algebra and reflecting the complex number property of geometric space which was composed of dots, lines, planes and solids.
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Clifford Algebra is also known as multi-vector calculus, it has more advantages than the usual mathematical tools like vector, tensor, spinor and exterior differential form. This text introduces the basic knowledge and complex number property of Clifford algebra from the two-dimensional geometric space to the three-dimensional geometric space, showing the superiority of Clifford algebra and reflecting the complex number property of geometric space which was composed of dots, lines, planes and solids.
Key concepts: Geometric algebra, Clifford algebra, Multivector, Algebra over a field, Spinor, Universal geometric algebra, Classification of Clifford algebras, Tensor (intrinsic definition)