Sobolev Lifting over Invariants

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2021
• Автори: Parusiński, Adam, Rainer, Armin
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2021
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211312
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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'...