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math.CO2021★ 1 cited
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…
math.CO2021
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…