Melissa Y. F. Miao

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Let Φ denote Foata's second fundamental transformation on permutations. For a permutation σ in the symmetric group S n , let Λ σ = {π ∈ S n : π w σ} be the principal order ideal generated by σ in the weak order w. Björner and Wachs have shown that Λ σ is invariant under Φ if and only if σ is a 132-avoiding permutation. In this paper, we consider the(More)
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