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RSK tableaux and the weak orderon fully commutative permutations

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By Emily Gunawan, Jianping Pan, Heather Russell, Bridget Eileen Tenner
| scholarship.richmond.edu
RSK tableaux and the weak orderon fully commutative permutations Abstract For each fully commutative permutation, we construct a “boolean core,” which is the maximal boolean permutation in its principal order ideal under the right weak order. We partition the set of fully commutative permutations into the recently defined crowded and uncrowded elements, distinguished by whether or not their RSK insertion tableaux satisfy a sparsity condition.
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