Complex crystallographic Coxeter groups and affine root systems
Copyright policy )Complex crystallographic Coxeter groups and affine root systems
The classification (up to an isomorphism in the category of affine groups) is given for 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. It implies that complex crystallographic Coxeter groups admit deformations that holomorphically depend on one variable.
- Independent University of Moscow Russian Federation
- Tel Aviv University Israel
Other geometric groups, including crystallographic groups, Reflection and Coxeter groups (group-theoretic aspects), Coxeter groups, Simple, semisimple, reductive (super)algebras, complex crystallographic groups
Other geometric groups, including crystallographic groups, Reflection and Coxeter groups (group-theoretic aspects), Coxeter groups, Simple, semisimple, reductive (super)algebras, complex crystallographic groups
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