  We prove a conjecture of Stembridge concerning stability of Kronecker
coefficients that vastly generalizes Murnaghan's theorem. The main idea is to
identify the sequences of Kronecker coefficients in question with Hilbert
functions of modules over finitely generated algebras. The proof only uses
Schur-Weyl duality and the Borel-Weil theorem and does not rely on any existing
work on Kronecker coefficients.
