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Regular version of the site

Article

Quaternion typification of Clifford algebra elements

Advances in Applied Clifford Algebras. 2012. Vol. 22. No. 1. P. 243-256.

We present a new classification of Clifford algebra elements. Our classification is based on the notion of quaternion type. Using this classification we develop a method for analyzing commutators and anticommutators of Clifford algebra elements. This method allows us to find out and prove a number of new properties of Clifford algebra elements.