Grassmann number

Anticommutating number

In mathematical physics, a Grassmann number, named after Hermann Grassmann, is an element of the exterior algebra of a complex vector space. The special case of a 1-dimensional algebra is known as a dual number. Grassmann numbers saw an early use in physics to express a path integral representation for fermionic fields, although they are now widely used as a foundation for superspace, on which supersymmetry is constructed.

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