Natural FLRW metrics on the Lie group of nonzero quaternions.

vtrifonov@cox.net · science forum beginner Joined: 11 Jun 2006 Posts: 1

For a unital algebra (finite dimensional associative linear algebra
over reals) there are natural metrics on the Lie group of its
invertible elements (natural in the sense that they are not only
compatible with the algebraic structure, but in fact are generated by
it). For the quaternion algebra, which is a unital algebra, these
metrics are Lorentzian, namely closed
Friedmann-Lemaitre-Robertson-Walker (see V. Trifonov, "Natural FLRW
metrics on the Lie group of nonzero quaternions", arXiv:
math-ph/0606007).

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