Sobolev Lifting over Invariants

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2021
• ISSN: 1815-0659
• Hauptverfasser: Parusiński, Adam, Rainer, Armin
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2021
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211312
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Sobolev Lifting over Invariants. Adam Parusiński and Armin Rainer. SIGMA 17 (2021), 037, 31 pages

We prove lifting theorems for complex representations of finite groups . Let σ = (σ₁,…, σₙ) be a minimal system of homogeneous basic invariants and let be their maximal degree. We prove that any continuous map ̅ : ℝᵐ → such that = σ ∘ ̅ is of class ᵈ⁻¹'¹ is locally of Sobolev class ¹'...