Sobolev lifting over invariants

DOI10.3842/SIGMA.2021.037zbMath1480.22006arXiv2003.01967OpenAlexW3010427960MaRDI QIDQ2023812

Adam Parusiński, Armin Rainer

Publication date: 3 May 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01967

zbMATH Keywords

\(Q\)-valued Sobolev functionscomplex representations of finite groupsSobolev lifting over invariants

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Lipschitz (Hölder) classes (26A16) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

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• A new proof of Bronshtein’s theorem
• 𝑄-valued functions revisited
• Regularity of roots of polynomials
• Classical Fourier Analysis
• Optimal Sobolev regularity of roots of polynomials
• Higher order Glaeser inequalities and optimal regularity of roots of real functions
• Finite Unitary Reflection Groups
• Invariants of Finite Groups Generated by Reflections

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