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math-ph2008★ 1 cited
A geometric algebra reformulation of 2x2 matrices: the dihedral group D_4 in bra-ket notation
Quirino M. Sugon, Carlo B. Fernandez, Daniel J. McNamara
We represent vector rotation operators in terms of bras or kets of half-angle exponentials in Clifford (geometric) algebra Cl_{3,0}. We show that SO_3 is a rotation group and we de…
math-ph2008★ 1 cited
Taxonomy of Clifford Cl_{3,0} subgroups: Choir and band groups
Quirino M. Sugon, Daniel J. McNamara
We list the subgroups of the basis set of Cl_{3,0} and classify them according to three criteria for construction of universal Clifford algebras: (1) each generator squares to +1 o…