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Shelling totally nonnegative flag varieties
Lusztig has recently extended the theory of total positivity by introducing the totally nonnegative part (G/PJ)≧0 of an arbitrary flag variety G/PJ. In this paper we study the face partially ordered set (poset) 𝒬J of cells in Rietsch's cell decomposition of (G/PJ)≧0. Our goal is to use combinatorial techniques to …