Young diagrams also parametrize the irreducible polynomial representations of the general linear group (when they have at most nonempty rows), or the irreducible representations of the special linear group (when they have at most nonempty rows), or the irreducible complex representations of the special unitary group (again when they have at most nonempty rows).
Young diagrams also parametrize the irreducible polynomial representations of the general linear group (when they have at most nonempty rows), or the irreducible representations of the special linear group (when they have at most nonempty rows), or the irreducible complex representations of the special unitary group (again when they have at most nonempty rows).