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Permutation statistics related to a class of noncommutative symmetric functions and generalizations of the Genocchi numbers by Hivert, Florent; Novelli, Jean-Christophe; Tevlin, Lenny; Thibon, Jean-Yves is a scholarly article available to read on EtoBox.

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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.

Author

Hivert, Florent; Novelli, Jean-Christophe; Tevlin, Lenny; Thibon, Jean-Yves

Published

2007

Language

EN