Spinors in three dimensions

Spinors are mathematical objects used in physics and mathematics, particularly in the context of quantum mechanics and the theory of relativity. In three dimensions, spinors can be understood as a generalization of the notion of vectors and can be associated with the representation of the rotation group, specifically the special orthogonal group SO(3). ### Definition and Representation In three-dimensional space, spinors are typically expressed in relation to the group of rotations SO(3).