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Paper detail

Simplicial arrangements on convex cones

We introduce the notion of a Tits arrangement on a convex open cone as a special case of (infinite) simplicial arrangements. Such an object carries a simplicial structure similar to the geometric representation of Coxeter groups. The standard constructions of subarrangements and restrictions, which are known in the case of finite hyperplane arrangements, work as well in this more general setting.

preprint2015arXivOpen access
Michael CuntzBernhard MühlherrChristian J. Weigel
math.CO
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Michael CuntzBernhard MühlherrChristian J. Weigel

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