arXiv 0809.44792008-09-26math.CO

Noncommutative Symmetric Functions VII: Free Quasi-Symmetric Functions Revisited

Gerard H. E. Duchamp, Florent Hivert, Jean-Christophe Novelli, Jean-Yves Thibon

备注：: 21 pages, Latex, 2 figures
发表信息：: Annals of Combinatorics 15 (2011), 655-673

英文摘要：

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.

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