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Loss of smoothness in the theorem on differentiable invariants of Coxeter groups

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Publication:1907464
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DOI10.1007/BF01076115zbMath0845.58015MaRDI QIDQ1907464

A. O. Gokhman

Publication date: 25 February 1996

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

Coxeter groupsloss of smoothnessdifferentiable invariants


Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Differentiable maps on manifolds (58C25) Representation and superposition of functions (26B40)


Related Items (1)

Invariants of class \(C^k\) for finite Coxeter groups and their representations in terms of anisotropic spaces



Cites Work

  • Invariants of class \(C^r\) of finite groups generated by reflections and Chevalley's theorem in class \(C^r\)
  • Differentiability properties of isotropic functions
  • Smooth symmetric functions


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