Noncommutative symmetric functions and Lagrange inversion

DOI10.1016/j.aam.2007.05.005zbMath1133.05101arXivmath/0512570OpenAlexW2033304751MaRDI QIDQ2474261

Jean-Yves Thibon, Jean-Christophe Novelli

Publication date: 5 March 2008

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512570

zbMATH Keywords

Lagrange inversion0-Hecke algebrasnoncommutative symmetric functionsparking functions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05) Hecke algebras and their representations (20C08)

Related Items

Noncommutative Bell polynomials and the dual immaculate basis, Resolutions of operads via Koszul (bi)algebras, Noncommutative symmetric functions and Lagrange inversion. II: Noncrossing partitions and the Farahat-Higman algebra, Noncommutative Bell polynomials, quasideterminants and incidence Hopf algebras, Combinatorial properties of the noncommutative Faà di Bruno algebra., Free quasi-symmetric functions and descent algebras for wreath products, and noncommutative multi-symmetric functions, An antipode formula for the natural Hopf algebra of a set operad., The \((1-\mathbb{E})\)-transform in combinatorial Hopf algebras, Combinatorics of Poincaré’s and Schröder’s equations, Coxeter groups, Coxeter monoids and the Bruhat order, Lagrange inversion, Noncommutative free cumulants, Double Catalan monoids, Hopf algebras of \(m\)-permutations, \((m + 1)\)-ary trees, and \(m\)-parking functions, Duplicial algebras, parking functions, and Lagrange inversion, A ONE-PARAMETER DEFORMATION OF THE NONCOMMUTATIVE LAGRANGE INVERSION FORMULA, Free cumulants, Schröder trees, and operads

Uses Software

• MuPAD
• MuPAD-Combinat
• OEIS

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