Complex crystallographic Coxeter groups and affine root systems

Joseph Bernstein*, Ossip Schwarzman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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
Issue number2
StatePublished - 2006


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