Complex sentence: In detail, if "V" is a finite-dimensional complex vector space with nondegenerate bilinear form "g", the Clifford algebra is the algebra generated by "V" along with the anticommutation relation.
Split into simpler sentences: In detail, let "V" be a finite-dimensional complex vector space with nondegenerate bilinear form "g". The Clifford algebra is the algebra generated by "V" along with the anticommutation relation.