Chevalley–Iwahori–Nagata theorem


In mathematics, the Chevalley–Iwahori–Nagata theorem states that if a linear algebraic group G is acting linearly on a finite-dimensional vector space V, then the map from V/G to the spectrum of the ring of invariant polynomials is an isomorphism if this ring is finitely generated and all orbits of G on V are closed. It is named after Claude Chevalley, Nagayoshi Iwahori, and Masayoshi Nagata.