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

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

2007-10-02

arxiv.org/abs/0710.0447v1

Mathematics

Combinatorics

13 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Permutation statistics related to a class of noncommutative symmetric functions and generalizations of the Genocchi numbers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Permutation statistics related to a class of noncommutative symmetric functions and generalizations of the Genocchi numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Permutation statistics related to a class of noncommutative symmetric functions and generalizations of the Genocchi numbers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-6910