In mathematics, and in particular the theory of group representations, the regular representation of a group G is the linear representation afforded by the group action of G on itself by translation.
One distinguishes the left regular representation λ given by left translation and the right regular representation ρ given by the inverse of right translation.
Read more about Regular Representation: Finite Groups, Significance of The Regular Representation of A Group, Module Theory Point of View, Structure For Finite Cyclic Groups, Topological Group Case, Normal Bases in Galois Theory, More General Algebras
Famous quotes containing the word regular:
“The solid and well-defined fir-tops, like sharp and regular spearheads, black against the sky, gave a peculiar, dark, and sombre look to the forest.”
—Henry David Thoreau (1817–1862)