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- W4301959504 abstract "We introduce analogs of the Hopf algebra of Free quasi-symmetric functions with bases labelled by colored permutations. When the color set is a semigroup, an internal product can be introduced. This leads to the construction of generalized descent algebras associated with wreath products $GammawrSG_n$ and to the corresponding generalizations of quasi-symmetric functions. The associated Hopf algebras appear as natural analogs of McMahon's multisymmetric functions. As a consequence, we obtain an internal product on ordinary multi-symmetric functions. We extend these constructions to Hopf algebras of colored parking functions, colored non-crossing partitions and parking functions of type B." @default.
- W4301959504 created "2022-10-06" @default.
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- W4301959504 date "2008-06-23" @default.
- W4301959504 modified "2023-10-18" @default.
- W4301959504 title "Free quasi-symmetric functions and descent algebras for wreath products, and noncommutative multi-symmetric functions" @default.
- W4301959504 doi "https://doi.org/10.48550/arxiv.0806.3682" @default.
- W4301959504 hasPublicationYear "2008" @default.
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