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arxiv: math/0512570 · v3 · pith:FHSB3WCDnew · submitted 2005-12-26 · 🧮 math.CO

Noncommutative Symmetric Functions and Lagrange Inversion

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keywords noncommutativefunctionsinversionlagrangeactionalgebracharacteristiccompute
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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.

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