LADDER DIAGRAMS AND WEAKLY SEPARATED SET-SYSTEMS
Journal of Algebra Number Theory Advances and Applications · 2016
Studying quasicommuting flag minors of a quantum matrix, Leclerc and Zelevinsky introduced the notion of weakly separated collections of subsets of the set [ ] { } .[ ], n m ∈ possess the property of purity, which means that all inclusion-wise maximal weakly separated collections in D have the same size.In this note, we prove the purity for a class of domains generalizing Boolean cubes and discrete Grassmannians.It is generated by so-called steep ladder diagrams.