A set of permutations is cyclic Schur-positive exactly when it is Schur-positive and closed under cyclic rotation of descent sets; the criterion yields new examples and proves two conjectures.
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On cyclic Schur-positive sets of permutation
A set of permutations is cyclic Schur-positive exactly when it is Schur-positive and closed under cyclic rotation of descent sets; the criterion yields new examples and proves two conjectures.