Reflection quotients in Riemannian Geometry. A Geometric Converse to Chevalley's Theorem

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dc.creatorMilson, Robert
dc.date2001-11-28
dc.date2002-09-05
dc.date.accessioned2026-07-07T04:44:50Z
dc.date.available2026-07-07T04:44:50Z
dc.descriptionChevalley's theorem and it's converse, the Sheppard-Todd theorem, assert that finite reflection groups are distinguished by the fact that the ring of invariant polynomials is freely generated. We show that in the Euclidean case, a weaker condition suffices to characterize finite reflection groups, namely that a freely-generated polynomial subring is closed with respect to the gradient product.
dc.identifierhttps://arxiv.org/abs/math/0111297
dc.identifierhttp://arxiv.org/abs/math/0111297
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62754
dc.subjectDifferential Geometry
dc.subjectGroup Theory
dc.subjectRings and Algebras
dc.subject20H15 14L24 53B21
dc.titleReflection quotients in Riemannian Geometry. A Geometric Converse to Chevalley's Theorem
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