Source: wikibot/irreducible-representation
= Irreducible representation
{wiki=Irreducible_representation}
In the context of group theory and representation theory, an **irreducible representation** is a representation of a group that cannot be decomposed into simpler representations. More formally, given a group \\( G \\) and a vector space \\( V \\), a representation of \\( G \\) on \\( V \\) is a homomorphism from \\( G \\) to the group of linear transformations of \\( V \\).