Noncommutative symmetric functions and Lagrange inversion II: Noncrossing partitions and the Farahat-Higman algebra - Algebraic combinatorics and symbolic computation
Article Dans Une Revue Advances in Applied Mathematics Année : 2022

Noncommutative symmetric functions and Lagrange inversion II: Noncrossing partitions and the Farahat-Higman algebra

Résumé

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.
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hal-04225461 , version 1 (22-07-2024)

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Jean-Christophe Novelli, Jean-Yves Thibon. Noncommutative symmetric functions and Lagrange inversion II: Noncrossing partitions and the Farahat-Higman algebra. Advances in Applied Mathematics, 2022, 140, pp.102396. ⟨10.1016/j.aam.2022.102396⟩. ⟨hal-04225461⟩
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