Calculation of elements of spin groups using generalized Pauli's theorem

Abstract

We formulate generalizations of Pauli's theorem on the cases of real and complex Clifford algebras of even and odd dimensions. We give analogues of these theorems in matrix formalism. Using these theorems we present an algorithm for computing elements of spin groups that correspond to elements of orthogonal groups as double cover.

Advances in Applied Clifford Algebras, 2014 (to appear)

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• Development of the Method of Averaging in Clifford Geometric Algebras
• Calculation of Spin Group Elements Revisited