Complex crystallographic Coxeter groups and affine root systems

Joseph Bernstein; Ossip Schwarzman

doi:10.2991/jnmp.2006.13.2.2

Complex crystallographic Coxeter groups and affine root systems

Joseph Bernstein^*
, Ossip Schwarzman

^*Corresponding author for this work

School of Mathematical Sciences

Independent University of Moscow

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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 language	English
Pages (from-to)	163-182
Number of pages	20
Journal	Journal of Nonlinear Mathematical Physics
Volume	13
Issue number	2
DOIs	https://doi.org/10.2991/jnmp.2006.13.2.2
State	Published - 2006

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Complex crystallographic Coxeter groups and affine root systems

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