Free quasi-symmetric functions of arbitrary level

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We introduce analogues of the Hopf algebra of Free quasi-symmetric functions with bases labelled by colored permutations. As applications, we recover in a simple way the descent algebras associated with wreath products $Γ\wr\SG_n$ and the corresponding generalizations of quasi-symmetric functions. Also, we obtain Hopf algebras of colored parking functions, colored non-crossing partitions and parking functions of type $B$.
11 pages, AMS LaTex

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Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/71389

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405597
 http://arxiv.org/abs/math/0405597

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arXiv