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a r t i c l e i n f o a b s t r a c t Generalizing the notion of a vexillary permutation, we introduce a filtration of S ∞ by the number of terms in the Stanley symmetric function, with the kth filtration level called the k-vexillary permutations. We show that for each k, the k-vexillary permutations are characterized by avoiding a finite set of patterns. A… (More)

The study of permutations is of central importance to mathematics. Computation with permutation groups has typically been limited to systems such as GAP and Magma. In this paper we describe cl-permutation, a system for doing computations with permutation groups in ANSI Common Lisp. Homomesies, a recent concept introduced by Propp and Roby, are elaborated… (More)

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