Robuta

https://dmtcs.episciences.org/en/articles/6399 The facial weak order in finite Coxeter groups | Discrete Mathematics & Theoretical Computer... We investigate a poset structure that extends the weak order on a finite Coxeter group W to the set of all faces of the permutahedron of W. We call this order... finite coxeter groupsweak orderdiscrete mathematicsfacialtheoretical