Reflection quotients in Riemannian geometry. A geometric converse to Chevalley’s theorem

DOI10.1090/S0002-9939-04-07583-5zbMath1064.14050arXivmath/0111297WikidataQ115290144 ScholiaQ115290144MaRDI QIDQ4813702

Robert Milson

Publication date: 13 August 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111297

zbMATH Keywords

invariantsfinite reflection groupsinvariant algebra

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Actions of groups on commutative rings; invariant theory (13A50) Global Riemannian geometry, including pinching (53C20) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)

Cites Work

• Invariants of finite reflection groups
• Isoparametric submanifolds and their Coxeter groups
• On a certain generator system of the ring of invariants of a finite reflection group
• Imprimitively Generated Lie-Algebraic Hamiltonians and Separation of Variables
• Geodesics of singular Riemannian metrics
• Finite Unitary Reflection Groups
• Invariants of Finite Groups Generated by Reflections