Inversion of some series of free quasi-symmetric functions - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2008

Inversion of some series of free quasi-symmetric functions

Résumé

We give a combinatorial formula for the inverses of the alternating sums of free quasi-symmetric functions of the form $\F_{\omega(I)}$ where $I$ runs over compositions with parts in a prescribed set $C$. This proves in particular three special cases (no restriction, even parts, and all parts equal to 2) which were conjectured by B. C. V. Ung in [Proc. FPSAC'98, Toronto].
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Dates et versions

hal-00325271 , version 1 (26-09-2008)

Identifiants

  • HAL Id : hal-00325271 , version 1

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Florent Hivert, Jean-Christophe Novelli, Jean-Yves Thibon. Inversion of some series of free quasi-symmetric functions. 2008. ⟨hal-00325271⟩
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