2011 | OriginalPaper | Buchkapitel
Noncommutative symmetric functions and combinatorial Hopf algebras
verfasst von : Jean-Yves Thibon
Erschienen in: Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. I
Verlag: Edizioni della Normale
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We present on a few examples a class of algebras which are increasingly popular in Combinatorics, and tend to permeate other fields as well. In particular, some of these algebras have connections with mould calculus and resurgence theory. They can be approached in many different ways. Here, they will be regarded as generalizations of the algebra of symmetric functions.