Permutation Statistics Related to a Class of Noncommutative Symmetric Functions and Generalizations of the Genocchi Numbers
نویسندگان
چکیده
We prove conjectures of the third author [L. Tevlin, Proc. FPSAC’07, Tianjin] on two new bases of noncommutative symmetric functions: the transition matrices from the ribbon basis have nonnegative integral coefficients. This is done by means of two composition-valued statistics on permutations and packed words, which generalize the combinatorics of Genocchi numbers.
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