A general method of generating and classifying Clifford algebras

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Abstract
A general construction program is given for the generation of higher-order Clifford algebras of various signatures together with their faithful representations in terms of Pauli-type operators. The analysis is based upon several isomorphism theorems that provide a simpler understanding of the standard classification scheme of these algebras, and an improved signature index notation is suggested that identifies each of the five types of Clifford algebras

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