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math-ph2019
Calculation of elements of spin groups using method of averaging in Clifford's geometric algebra
D. S. Shirokov
We present a method of computing elements of spin groups in the case of arbitrary dimension. This method generalizes Hestenes method for the case of dimension 4. We use the method…
math-ph2017★ 28 cited
Clifford algebras and their applications to Lie groups and spinors
D. S. Shirokov
In these lectures, we discuss some well-known facts about Clifford algebras: matrix representations, Cartan's periodicity of 8, double coverings of orthogonal groups by spin groups…