Noncommutative Symmetric Functions VII: Free Quasi-Symmetric Functions Revisited

By G. Duchamp, Florent Hivert, Jean-Christophe Novelli, Jean-Yves Thibon. 2008

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We prove a Cauchy identity for free quasi-symmetric functions and apply it to the study of various bases. A free Weyl formula and a generalization of the splitting formula are also discussed.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Spectroscopy

View Paper: https://www.semanticscholar.org/paper/78ca453b17aee1eba2cbf47f392d79c61f820c83