Separation theorems for group invariant polynomials

DOI10.1007/s12220-017-9825-0zbMath1393.13011OpenAlexW2592177668MaRDI QIDQ1742947

Manuel Maestre, Javier Falcó, Richard Martin Aron

Publication date: 12 April 2018

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-017-9825-0

zbMATH Keywords

symmetric polynomialsseparation theorempolynomial convexitygroup invariant polynomials

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Actions of groups on commutative rings; invariant theory (13A50) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20)

Related Items

Isomorphisms of some algebras of analytic functions of bounded type on Banach spaces ⋮ Spectra of algebras of block-symmetric analytic functions of bounded type ⋮ Symmetric $*$-polynomials on $\mathbb C^n$ ⋮ Algebras of symmetric holomorphic functions of several complex variables ⋮ Group-invariant separating polynomials on a Banach space ⋮ Group invariant operators and some applications to norm-attaining theory

Cites Work

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• Invariants of finite reflection groups
• Banach space theory. The basis for linear and nonlinear analysis
• Ideals, Varieties, and Algorithms
• Finite Unitary Reflection Groups
• Invariants of Finite Groups Generated by Reflections