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Complex crystallographic Coxeter groups and affine root systems
Joseph Bernstein, Dimitry A. Leites and Ossip Schwarzman
We classify (up to an isomorphism in the category of affine groups) the complex crystallographic groups $\Gamma$ generated by reflections and such that $d\Gamma$, its linear part, is a Coxeter group, i.e., $d\Gamma$ is generated by "real" reflections of order 2.