Showing results for Enumeration of Grassmannian Permutations Below a Permutation in Bruhat Order.
May 18, 2010 · In this article, we prove formulas on enumeration of bigrassmannian permutations weakly below a permutation in Bruhat order in the symmetric ...
Missing: Grassmannian | Show results with:Grassmannian
In this article, we prove formulas on enumeration of bigrassmannian permutations weakly below a permutation in Bruhat order in the symmetric groups. For the ...
Missing: Grassmannian | Show results with:Grassmannian
Aug 28, 2015 · There are numerous combinatorial objects associated to a Grassmannian permutation wλ that index cells of the totally nonnegative Grassmannian.
Here and after, we use a finite list (w(1),w(2),...,w(n)) to denote any permutation w ∈ Sn ⊂. S∞. In this example, the first three entries of the permutations ...
In this section we present how we can associate a Young Diagram model to each k-Grassmannian permutation such that the Bruhat order may be characterized by.
Missing: Enumeration | Show results with:Enumeration
There are numerous combinatorial objects associated to a Grassmannian permutation w λ that index cells of the totally nonnegative Grassmannian.
Our main theorem says that there exists a bijection between bigrassmanian permutations maximal below a permutation and its essential set. For the proof, we make ...
Mar 12, 2019 · In terms of what such a "formula" might look like: if w is a Grassmannian permutation of shape λ then we have [e,w]≃[∅,λ], an initial interval ...
Missing: Enumeration | Show results with:Enumeration
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We study the partial orders induced on Wachs and signed Wachs permutations by the Bruhat and weak orders of the symmetric and hyperoctahedral groups. We show ...
The map from maximal-alignment permutations to noncrossing partitions is now obvious. We simply take our permutation and then erase the directions on the edges.