Quaternion Rhapsody.

Authors: Aleks Kleyn
Subjects: General Mathematics
link: http://arxiv.org/abs/0909.0855
Abstract

In this paper I explore the set of quaternion algebras over field. In
contrast to quaternion algebra H=E(R,-1,-1), linear function of quaternion
algebra E(C,-1,-1) over complex field satisfies to the Cauchy--Riemann
equations.