Superalgebra Guide, Meaning , Facts, Information and Description
In mathematics and theoretical physics, a superalgebra over a field K generally refers to a Z2-graded algebra over K (here Z2 is the cyclic group of order 2).An associative superalgebra (or Z2-graded associative algebra) is one whose product is associative. Principal examples are Clifford algebras.
A supercommutative algebra is a superalgebra satisfying a graded version of commutivity; the primary example being the exterior algebra on a vector space.
A Lie superalgebra is nonassociative superalgebra which is the graded version of a ordinary Lie algebra.
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