190 citations · 1.2k across the 86 of their papers we have counts for
92 papers
Stability properties of inner plethyms (Lecture Notes)
Jean-Yves Thibon
The inner plethysm of symmetric functions corresponds to the -ring operations of the representation ring of the symmetric group. It is known since the work…
Tree expansions of some Lie idempotents}
Frédéric Menous, Jean-Christophe Novelli, Jean-Yves Thibon
We prove that the Catalan Lie idempotent , introduced in [Menous {\it et al.}, Adv. Appl. Math. 51 (2013), 177] can be refined by introducing independent parameters $…
Schur positivity of the spiders and via noncommutative symmetric functions
Jean-Yves Thibon, David G. L. Wang
We prove that the spider graphs and are Schur positive for all integers . Together with the known -positivity results, this completes the - and S…
A two-parameter deformation of the quasi-shuffle and new bases of quasi-symmetric functions
Olivier Bouillot, Jean-Christophe Novelli, Jean-Yves Thibon
We define a two-parameter deformation of the quasi-shuffle by means of the formal group law associated with the exponential generating function of the homogeneous Eulerian polynomi…
Pinnacle sets revisited
Justine Falque, Jean-Christophe Novelli, Jean-Yves Thibon
In 2017, Davis, Nelson, Petersen, and Tenner [Discrete Math. 341 (2018),3249--3270] initiated the combinatorics of pinnacles in permutations. We provide a simple and efficient recu…
Noncommutative Symmetric Functions and Lagrange Inversion II: Noncrossing partitions and the Farahat-Higman algebra
Jean-Christophe Novelli, Jean-Yves Thibon
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 r…