Development of the Method of Quaternion Typification of Clifford Algebra Elements |
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Authors: | D S Shirokov |
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Institution: | 1. Steklov Mathematical Institute, Gubkin St.8, 119991, Moscow, Russia
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Abstract: | In this paper we further develop the method of quaternion typification of Clifford algebra elements suggested by the author in the previous papers. On the basis of new classification of Clifford algebra elements, it is possible to reveal and prove a number of new properties of Clifford algebras. We use k-fold commutators and anticommutators. In this paper we consider Clifford and exterior degrees and elementary functions of Clifford algebra elements. |
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