GROUP THEORY SYMBOL

GTQInverse

GTQInverse[q]
gives the inverse of the quaternion q.

DetailsDetails

  • Quaternions form a division ring hence for every quaternion there exists a multiplicative inverse element. The inverse is defined by ⋄ = 1.
  • If * is the conjugate element of then = * ||.
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 2.1.3

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

First, load the package:

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Then run the example:

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