Rotor (mathematics)
Object in geometric algebra / From Wikipedia, the free encyclopedia
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This article is about the object in geometric algebra. For the vector concept, see Rotor (operator).
A rotor is an object in the geometric algebra (also called Clifford algebra) of a vector space that represents a rotation about the origin.[1] The term originated with William Kingdon Clifford,[2] in showing that the quaternion algebra is just a special case of Hermann Grassmann's "theory of extension" (Ausdehnungslehre).[3] Hestenes[4] defined a rotor to be any element of a geometric algebra that can be written as the product of an even number of unit vectors and satisfies , where is the "reverse" of —that is, the product of the same vectors, but in reverse order.