TL;DR
This paper explores quaternionic matrices and groups, providing a new perspective on their properties and potential applications in Grand Unified Theories (GUTs).
Contribution
It introduces a novel definition of transpose for quaternionic matrices and reviews quaternionic groups relevant to GUTs.
Findings
Defined a new transpose operation for quaternionic matrices
Reviewed quaternionic groups in the context of GUTs
Analyzed the structure of quaternionic groups for theoretical physics
Abstract
We derive an appropriate definition of transpose for quaternionic matrices and give a new panoramic review of the quaternionic groups. We aim to analyse possible quaternionic groups for GUTs.
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