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Permutation statistics related to a class of noncommutative symmetric functions and generalizations of the Genocchi numbers
Abstract : 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.
https://hal.archives-ouvertes.fr/hal-00484691
Contributor : Florent Hivert Connect in order to contact the contributor
Submitted on : Tuesday, May 18, 2010 - 7:02:15 PM
Last modification on : Wednesday, March 2, 2022 - 10:10:08 AM
Contributor : Florent Hivert Connect in order to contact the contributor
Submitted on : Tuesday, May 18, 2010 - 7:02:15 PM
Last modification on : Wednesday, March 2, 2022 - 10:10:08 AM
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