Sobolev Lifting over Invariants
We prove lifting theorems for complex representations 𝑉 of finite groups 𝐺. Let σ = (σ₁,…, σₙ) be a minimal system of homogeneous basic invariants and let 𝑑 be their maximal degree. We prove that any continuous map 𝑓 ̅ : ℝᵐ → 𝑉 such that 𝑓 = σ ∘ 𝑓 ̅ is of class 𝐶ᵈ⁻¹'¹ is locally of Sobolev clas...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2021 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2021
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211312 |
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| 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 |