By the same authors

From the same journal

From the same journal

Separating invariants and finite reflection groups

Research output: Contribution to journalArticle

Published copy (DOI)



Publication details

JournalAdvances in Mathematics
DatePublished - 20 Aug 2009
Issue number6
Number of pages11
Pages (from-to)1979-1989
Original languageEnglish


A separating algebra is, roughly speaking, a subalgebra of the ring of invariants whose elements distinguish between any two orbits that can be distinguished using invariants. In this paper, we introduce a geometric notion of separating algebra. This allows us to prove that only groups generated by reflections may have polynomial separating algebras, and only groups generated by bireflections may have complete intersection separating algebras.

    Research areas

  • Bireflections, Complete intersection ring, Finite groups, Invariant theory, Polynomial ring, Reflections, Separating invariants

Discover related content

Find related publications, people, projects, datasets and more using interactive charts.

View graph of relations