Quaternions using Clifford algebras
quaternion.RdConverting quaternions to and from Clifford objects is not part of the
package but functionality and a short discussion is included in
inst/quaternion_clifford.Rmd.
Details
Given a quaternion \(a+bi+cj+dk\), one may identify \(i\) with \(-e_{12}\), \(j\) with \(-e_{13}\), and \(k\) with \(-e_{23}\) (the constant term is of course \(e_0\)).
Note
A different mapping, from the quaternions to
\(\operatorname{Cl}(0,2)\) is given at
signature.Rd.