Complex crystallographic Coxeter groups and affine root systems

Joseph Bernstein, Ossip Schwarzman

Research output: Contribution to journalArticlepeer-review

Abstract

We classify (up to an isomorphism in the category of affine groups) the complex crystallographic groups Γ generated by reflections and such that dΓ, its linear part, is a Coxeter group, i.e., dΓ is generated by "real" reflections of order 2.

Original languageEnglish
Pages (from-to)163-182
Number of pages20
JournalJournal of Nonlinear Mathematical Physics
Volume13
Issue number2
DOIs
StatePublished - 2006

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