A geometric proof of the classification of complex vector cross product

TL;DR

This paper provides a geometric proof of the classification of complex vector cross products, offering a new perspective on a known mathematical result.

Contribution

It introduces a geometric approach to prove the classification of complex vector cross products originally established by Lee-Leung.

Findings

Geometric proof of the classification

New perspective on complex vector cross products

Clarification of the underlying geometric structure

Abstract

In this article, we give a geometric proof of the classification of complex vector cross product due to Lee-Leung.