Skip to Main content Skip to Navigation
Journal articles

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.
Document type :
Journal articles
Complete list of metadata

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

Links full text

Identifiers

Citation

Florent Hivert, Jean-Christophe Novelli, Jean-Yves Thibon. Permutation statistics related to a class of noncommutative symmetric functions and generalizations of the Genocchi numbers. Selecta Mathematica, 2009, 15 (1), pp.105-119. ⟨10.1007/s00029-009-0489-x⟩. ⟨hal-00484691⟩

Share

Metrics

Record views

172