1 citations · 1 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
Infinite Reduced Words, Lattice Property And Braid Graph of Affine Weyl Groups
Weijia Wang
In this paper, we establish a bijection between the infinite reduced words of an affine Weyl group and certain biclosed sets of its positive system and determine all finitely gener…
Twisted Weak Orders of Coxeter Groups
Weijia Wang
In this paper, we initiate the study of the twisted weak order associated to a twisted Bruhat order for a Coxeter group and explore the relationship between the lattice property of…
Oriented Matroid Structures From Realized Root Systems
Matthew Dyer, Weijia Wang
This paper investigates the question of uniqueness of the reduced oriented matroid structure arising from root systems of a Coxeter group in real vector spaces. We settle the quest…