Jean-Christophe Novelli, Jean-Yves Thibon
Published 2021-06-15Version 1
We introduce a new pair of mutually dual bases of noncommutative symmetric functions and quasi-symmetric functions, and use it to derive generalizations of several results on the reduced incidence algebra of the lattice of noncrossing partitions. As a consequence, we obtain a quasi-symmetric version of the Farahat-Higman algebra.
A Combinatorial Perspective on the Noncommutative Symmetric Functions
On the Hopf algebra of noncommutative symmetric functions in superspace
Permutation statistics related to a class of noncommutative symmetric functions and generalizations of the Genocchi numbers
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