In mathematics and physics, in particular in the theory of the orthogonal groups, spinors are elements of a complex vector space introduced to expand the notion of spatial vector. They are needed because the full structure of the group of rotations in a given number of dimensions requires some extra number of dimensions to exhibit it. More formally, spinors can be defined as geometrical objects constructed from a given vector space endowed with a quadratic form by means of an algebraic or quanti… (
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