... >> Mathematics >> Abstract Algebra >> Schur's Lemma
Highest Rated Sign
Nobody has posted a sign yet.
Definition: a) Let p and p' be irreducible representations of G on vector spaces V and V', respectively, and let T:V' -> V be a G-invariant transformation. Either T is an isomorphism, or else T=0. b) Let p be an irreducible representation of G on a vector space V, and let T:V -> V be a G-invariant linear operator. Then T is multiplication by a scalar: T=cI.
Source: Algebra, second edition by Michael Artin