105 citations · 372 across the 55 of their papers we have counts for
61 papers
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 $…
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…
Parabolic Tamari Lattices in Linear Type B
Wenjie Fang, Henri Mühle, Jean-Christophe Novelli
We study parabolic aligned elements associated with the type- Coxeter group and the so-called linear Coxeter element. These elements were introduced algebraically in (Mühle and…
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…
A Consecutive Lehmer Code for Parabolic Quotients of the Symmetric Group
Wenjie Fang, Henri Mühle, Jean-Christophe Novelli
In this article we define an encoding for parabolic permutations that distinguishes between parabolic -avoiding permutations. We prove that the componentwise order on these co…