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Paper detail

Permutation statistics related to a class of noncommutative symmetric functions and generalizations of the Genocchi numbers

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.

preprint2007arXivOpen access
Florent HivertJean-Christophe NovelliLenny TevlinJean-Yves Thibon
math.CO
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Florent HivertJean-Christophe NovelliLenny TevlinJean-Yves Thibon

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