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On the Tits cone of a Weyl groupoid

Combinatorics 2018-03-28 v1

Abstract

We translate the axioms of a Weyl groupoid with (not necessarily finite) root system in terms of arrangements. The result is a correspondence between Weyl groupoids permitting a root system and Tits arrangements satisfying an integrality condition which we call the crystallographic property.

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Cite

@article{arxiv.1803.09521,
  title  = {On the Tits cone of a Weyl groupoid},
  author = {Michael Cuntz and Bernhard Mühlherr and Christian J. Weigel},
  journal= {arXiv preprint arXiv:1803.09521},
  year   = {2018}
}

Comments

23 pages