Noncommutative free cumulants

zbMath1385.05085MaRDI QIDQ1745157

Frédéric Menous, Jean-Yves Thibon, Jean-Christophe Novelli, Matthieu Josuat-Vergès

Publication date: 20 April 2018

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2017/58%20Josuat-Verges%20Menous%20Novelli%20Thibon.html

zbMATH Keywords

Hopf algebrasnoncrossing partitionsoperadsfree cumulants

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Cites Work

• Non-commutative Hopf algebra of formal diffeomorphisms.
• Multiplicative functions on the lattice of non-crossing partitions and free convolution
• Noncommutative symmetric functions and Lagrange inversion
• Sur les partitions non croisées d'un cycle. (The non-crossed partitions of a cycle)
• Noncommutative Bell polynomials, quasideterminants and incidence Hopf algebras
• Hopf algebras and dendriform structures arising from parking functions
• Coalgebras and bialgebras in combinatorics
• The Splitting Process in Free Probability Theory
• Combinatorics of Poincaré’s and Schröder’s equations
• Cumulants, free cumulants and half-shuffles
• Unnamed Item

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