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math.GR2019
A characterization of simplicial oriented geometries as groupoids with root systems
Matthew Dyer, Weijia Wang
This paper shows that simplicial oriented geometries can be characterized as groupoids with root systems having certain favorable properties, as conjectured by the first author. Th…
math.RT2019
Local Finiteness of the Twisted Bruhat Orders on Affine Weyl Groups
Weijia Wang
In this paper, we investigate various properties of strong and weak twisted Bruhat orders on a Coxeter group. In particular, we prove that any twisted strong Bruhat order on an aff…