Invariants of class \(C^r\) of finite groups generated by reflections and Chevalley's theorem in class \(C^r\)

DOI10.1215/S0012-7094-86-05332-9zbMath0619.20026OpenAlexW1511530040MaRDI QIDQ1089434

G. Barbançon

Publication date: 1986

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.dmj/1077305190

zbMATH Keywords

Weyl groupCartan decompositionadjoint groupinvariant polynomial functionsChevalley Theoreminvariant \(C^ r\)-functionsreal reductive Lie algebra

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Differentiable maps on manifolds (58C25) Real-valued functions on manifolds (58C05)

Related Items

On smooth functions invariant relative to groups generated by reflections ⋮ Loss of smoothness in the theorem on differentiable invariants of Coxeter groups ⋮ Invariant functions in Denjoy-Carleman classes ⋮ Invariants of class \(C^k\) for finite Coxeter groups and their representations in terms of anisotropic spaces

Cites Work

• On the \(C^\infty\) Chevalley's theorem
• Differentiability properties of symmetric and isotropic functions
• On the differentiability of O(n) invariant functions of symmetric matrices
• A duality for symmetric spaces with applications to group representations. III: Tangent space analysis
• Singularites \(C^\infty\) en presence de symétrie. En particulier en presence de la symétrie d'un groupe de Lie compact
• Spherical Functions on a Semisimple Lie Group, I
• Sur le théorème de Hilbert différentiable pour les groupes linéaires finis (d'après E. Noether)
• Lie Group Representations on Polynomial Rings
• Orbits and Representations Associated with Symmetric Spaces
• Théorème de Newton pour les fonctions de classe $C^r$
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Invariants of class \(C^r\) of finite groups generated by reflections and Chevalley's theorem in class \(C^r\)