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arXiv · 1709.00603

A note on Weyl groups and crystallographic root lattices

Barbara Baumeister·Patrick Wegener
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Abstract

We follow the dual approach to Coxeter systems and show for Weyl groups a criterium which decides whether a set of reflections is generating the group depending on the root and the coroot lattice. Further we study special generating sets involving a parabolic subgroup and show that they are very tame.

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Barbara Baumeister, Patrick Wegener. 2017-09-02. A note on Weyl groups and crystallographic root lattices. https://arxiv.org/abs/1709.00603

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