TY - JOUR
T1 - A linear associative algebra suitable for electromagnetic relations and the theory of relativity
JF - Proceedings of the Royal Society of London. Series A
JO - Proc R Soc Lond A Math Phys Sci
SP - 331
LP - 333
M3 - 10.1098/rspa.1919.0060
VL - 96
IS - 678
AU -
Y1 - 1919/12/15
UR - http://rspa.royalsocietypublishing.org/content/96/678/331.abstract
N2 - Clifford has pointed out that geometrical algebras may be based on a system of fundamental units, i, j, k, o, etc., these units being alternate (ij = —ji, io = —oi, etc.), and the square of each unit being —1. It can be proved that such a system is associative. Such an algebra based on four fundamental units, i, j, k, o, expresses in a remarkably simple manner the vector formulæ of Minkowski and the electromagnetic relations.
ER -