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
MSC-Numbers: 32B30, 20H15, 32C40
Keywords and phrases: Coxeter groups, invariant theory, Kac--Moody algebras
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We classify (up to an isomorphism in the category of affine groups) the complex crystallographic groups formula3 generated by reflections and such that formula5, its linear part, is a Coxeter group, i.e., formula5 is generated by ``real" reflections of order 2.

21.02.2013, 01:42