Complex Quaternionic Formulations of Dirac, Electrodynamic, and Electroweak Fields and Interactions

James Henry Atwater, David Lambert, Yuri Rostovtsev

A simple translation between a standard representation of ${\mathfrak{sl}}_2\mathbb{C}$ and the complex-quaternions ($\mathbb{H}{\otimes }_{\mathbb{R}}\mathbb{C}$) is established and expl…