Matrix representation of quaternions
The authors establish that there are 48 distinct triples of real \(4\times 4\) signed permutation matrices \(H,K,L\), subject to the well known conditions \(HH=-I\), \(HJ=K\) etc., which together with the identity matrix \(I\) will serve as a basis in the regular representation of the real quaternions.
scientific article; zbMATH DE number 1880079