39 citations · 82 across the 12 of their papers we have counts for
Showing 2007Show all
3 papers · 1 filter
math.CO2007★ 1 cited
Bruhat order, smooth Schubert varieties, and hyperplane arrangements
Suho Oh, Alexander Postnikov, Hwanchul Yoo
The aim of this article is to link Schubert varieties in the flag manifold with hyperplane arrangements. For a permutation, we construct a certain graphical hyperplane arrangement.…
math.RT2007
Combinatorial Gelfand Models
Ron M. Adin, Alexander Postnikov, Yuval Roichman
A combinatorial construction of a Gelafand model for the symmetric group and its Iwahori-Hecke algebra is presented.
math.AG2007★ 39 cited
Matching polytopes, toric geometry, and the non-negative part of the Grassmannian
Alexander Postnikov, David Speyer, Lauren Williams
In this paper we use toric geometry to investigate the topology of the totally non-negative part of the Grassmannian (Gr_{kn})_{\geq 0}. This is a cell complex whose cells Delta_G…