Preprint 82/2006
Complex crystallographic Coxeter groups and affine root systems
Joseph Bernstein, Dimitry A. Leites, and Ossip Schwarzman
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Submission date: 22. Aug. 2006
Pages: 22
published in: Journal of nonlinear mathematical physics, 13 (2006) 2, p. 163-182 
DOI number (of the published article): 10.2991/jnmp.2006.13.2.2
Bibtex
MSC-Numbers: 32B30, 20H15, 32C40
Keywords and phrases: Coxeter groups, invariant theory, Kac--Moody algebras
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Abstract:
We classify (up to an isomorphism in the category of affine groups)
the complex crystallographic groups 
generated by reflections
and such that 
, its linear part, is a Coxeter group, i.e.,
is generated by ``real" reflections of order 2.