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Noncommutative symmetric functions and Lagrange inversion

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2008Embargo end date: 01 Jan 2005 France English Publisher:Elsevier BVJournal:Advances in Applied Mathematics, volume 40, pages 8-35 (issn: 0196-8858, Copyright policy )
Authors: Novelli, Jean-Christophe; Thibon, Jean-Yves;

doi: 10.1016/j.aam.2007.05.005 , 10.48550/arxiv.math/0512570

arXiv: math/0512570

Noncommutative symmetric functions and Lagrange inversion

Abstract

We compute the noncommutative Frobenius characteristic of the natural action of the 0-Hecke algebra on parking functions, and obtain as corollaries various forms of the noncommutative Lagrange inversion formula.

22 pages, 8 figures, LaTEX

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France
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Keywords

Symmetric functions and generalizations, Applied Mathematics, Exact enumeration problems, generating functions, 0-Hecke algebras, Lagrange inversion, Hecke algebras and their representations, Hopf algebras (associative rings and algebras), Noncommutative symmetric functions, [INFO.INFO-CL] Computer Science [cs]/Computation and Language [cs.CL], FOS: Mathematics, Mathematics - Combinatorics, noncommutative symmetric functions, Combinatorics (math.CO), parking functions, Parking functions

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    popularity
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
20
Average
Top 10%
Top 10%
Green
hybrid