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Creators/Authors contains: "Lewis, Joel Brewster"

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  1. ; ; (, Journal of Algebra)
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  2. ; (, Annals of Combinatorics)
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  3. ; ; (, Mathematische Annalen)
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  4. ; ; (, Enumerative Combinatorics and Applications)
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  5. ; (, Canadian Journal of Mathematics)
    null (Ed.)
    We enumerate factorizations of a Coxeter element in a well-generated complex reflection group into arbitrary factors, keeping track of the fixed space dimension of each factor. In the infinite families of generalized permutations, our approach is fully combinatorial. It gives results analogous to those of Jackson in the symmetric group and can be refined to encode a notion of cycle type. As one application of our results, we give a previously overlooked characterization of the poset of 2W-noncrossing partitions. 
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