Clifford Algebras and Their Applications in Mathematical Physics

William Kingdon Clifford published the paper defining his "geometric algebras" in 1878, the year before his death. Clifford algebra is a generalisation to n-dimensional space of quaternions, which Hamilton used to represent scalars and vectors in real three-space: it is also a development of Grassmann''s algebra, incorporating in the fundamental relations inner products defined in terms of the met...