A note on Weyl groups and crystallographic root lattices
Group Theory
2019-05-01 v3
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.
Cite
@article{arxiv.1709.00603,
title = {A note on Weyl groups and crystallographic root lattices},
author = {Barbara Baumeister and Patrick Wegener},
journal= {arXiv preprint arXiv:1709.00603},
year = {2019}
}
Comments
minor changes and corrections