The purity of set-systems related to Grassmann necklaces

Studying the problem of quasicommuting quantum minors, Leclerc and Zelevinsky introduced in 1998 the notion of weakly separated sets in $[n]:=\{1,\ldots, n\}$. Moreover, they raised several conjectures on the purity for this symmetric relation, in particular, on the Boolean cube $2^{[n]}$. In 0909.1...

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Bibliographic Details
Main Authors: Vladimir Danilov, Alexander Karzanov, Gleb Koshevoy
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2014-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2392/pdf