3 papers
math.CO2025
The Lehmer complex of a Bruhat interval
Davide Bolognini, Paolo Sentinelli
We introduce Lehmer codes, with immersions in the Bruhat order, for several finite Coxeter groups, including all the classical Weyl groups. This allows to associate to each lower B…
math.GR2024
Reflections and quotients in Coxeter groups
Paolo Sentinelli
We present a formula relating the set of left descents of an element of a Coxeter group with the sets of left descents of its projections on maximal quotients indexed by simple rig…
math.CO2024
Linearly shellable complexes
Paolo Sentinelli
We introduce the class of linearly shellable pure simplicial complexes. The characterizing property is the existence of a labeling of their vertices such that all linear extensions…