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Creators/Authors contains: "Morales, A. H."

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  1. ; ; ( , Journal of Mathematical Sciences)
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  2. ; ( , Séminaire lotharingien de combinatoire)
    The classical hook-length formula counts the number of standard tableaux of straight shapes, but there is no known product formula for skew shapes. Okounkov– Olshanski (1996) and Naruse (2014) found new positive formulas for the number of standard Young tableaux of a skew shape. We prove various properties of the Okounkov– Olshanski formula: a reformulation similar to the Naruse formula, determinantal formulas for the number of terms, and a q-analogue extending the formula to reverse plane partitions, which complements work by Chen and Stanley for semistandard tableaux. 
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    Accepted Manuscript Full Text Available
  3. ; ( , Séminaire lotharingien de combinatoire)
    We enumerate factorizations of a Coxeter element into arbitrary factors in the complex reflection groups G(d, 1, n) (the wreath product of the symmetric group with a cyclic group) and its subgroup G(d, d, n), applying combinatorial and algebraic methods, respectively. After a change of basis, the coefficients that appear are the same as those that appear in the corresponding enumeration in the symmetric group. 
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    Accepted Manuscript Full Text Available