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About: Vexillary permutation     Goto   Sponge   NotDistinct   Permalink

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Type: yago:Abstraction100002137yago:Cognition100023271yago:Form105930736yago:PsychologicalFeature100023100yago:Structure105726345yago:WikicatPermutationPatterns New Facet based on Instances of this Class

In mathematics, a vexillary permutation is a permutation μ of the positive integers containing no subpermutation isomorphic to the permutation (2143); in other words, there do not exist four numbers i < j < k < l with μ(j) < μ(i) < μ(l) < μ(k). They were introduced by Lascoux and Schützenberger . The word "vexillary" means flag-like, and comes from the fact that vexillary permutations are related to flags of modules. showed that vexillary involutions are enumerated by Motzkin numbers.