2 papers
math.GR2025
Biclosed sets, quasitrivial semigroups and oriented matroid
Weijia Wang, Rui Wang
In this paper, we establish a one-to-one correspondence between the set of biclosed sets in an irreducible root system of type and the set of quasitrivial semigroup structure…
math.RT2024
Order types of reflection orders on affine Weyl groups
Weijia Wang, Rui Wang
In this paper, we investigate the order types of reflection orders on irreducible affine Weyl groups. We show that they are intimately related to the Catalan combinatorics. We expl…