In mathematics and physics, in particular in the theory of the orthogonal groups, (like the rotation or the Lorentz groups) spinors are elements of a complex vector space introduced to expand the notion of spatial vector. They're needed, because there're representations of the infinitessimal orthogonal transformations (the Lie algebra) which can't be constructed as tensor representations. Specifically, spinors are geometrical objects constructed from representations of the Clifford algebra of… (More on Spinors)