Linear embeddings of semialgebraic \(G\)-spaces (Q1433436)

The authors prove a semialgebraic version of the classical Mostow theorem on equivariant embeddings of homogeneous spaces of compact Lie groups into orthogonal representation spaces. The main result asserts the existence of a semialgebraic equivariant embedding of a regular semialgebraic \(G\)-space into an orthogonal representation space of a compact real linear semialgebraic group \(G\).