quaternion: Quaternions using Clifford algebras

Description Details Note Author(s) See Also

Description

Converting 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

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Given a quaternion \mjeqna+bi+cj+dka+bi+cj+dk, one may identify \mjeqnii with \mjeqn-e_12-e_12, \mjeqnjj with \mjeqn-e_13-e_13, and \mjeqnkk with \mjeqn-e_23-e_23 (the constant term is of course \mjeqne_0e_0).

Note

A different mapping, from the quaternions to \mjseqnCl(0,2) is given at signature.Rd.

Author(s)

Robin K. S. Hankin

See Also

signature


clifford documentation built on Nov. 19, 2021, 1:06 a.m.