Quaternion Rhapsody
General Mathematics
2011-04-05 v5
Abstract
In this paper I explore the set of quaternion algebras over field. Quaternion algebra E(C,-1,-1) is isomorphic to tensor product of complex field C and quaternion algebra H=E(R,-1,-1). Considered two sets of quaternion functions, which satisfy to equation similar to Cauchy-Riemann equation for a complex function.
Cite
@article{arxiv.0909.0855,
title = {Quaternion Rhapsody},
author = {Aleks Kleyn},
journal= {arXiv preprint arXiv:0909.0855},
year = {2011}
}
Comments
English text - 23 pages; Russian text - 23 pages