High Quality Content by WIKIPEDIA articles! 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. Specifically, spinors are geometrical objects constructed from a vector space endowed with a quadratic form, such as a Euclidean or Minkowski space, by means of an algebraic procedure, through Clifford algebras, or a quantization procedure. A given quadratic form may support several different types of spinors. Spinors in general were discovered by Elie Cartan in 1913. Later, spinors were adopted by quantum mechanics in order to study the properties of the intrinsic angular momentum of the electron and other fermions. Today spinors enjoy a wide range of physics applications.

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