High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! In mathematics, a super vector space is another name for a Z2-graded vector space, that is, a vector space over a field K with a given decomposition V=V_0oplus V_1. The study of super vector spaces and their generalizations is sometimes called super linear algebra. These objects find their principal application in theoretical physics where they are used to described the various algebraic aspects of supersymmetry. Vectors which are elements of either V0 or V1 are said to be homogeneous. The parity of a nonzero homogeneous element, denoted by |x|, is 0 or 1 according to whether it is in V0 or V1. |x| = begin{cases}0

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