of this occurs in the theory of monstrous moonshine: the -invariant is the graded dimension of an infinite-dimensional graded representation of the monster group, and replacing the dimension with the character gives the McKay–Thompson series for each element of the Monster group. See also , also called Lebesgue covering dimension Notes References Sources External links MIT Linear Algebra Lecture on Independence, Basis, and Dimension by Gilbert Strang at MIT OpenCourseWare Dimension Linear algebra Vectors (mathematics and physics)