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Article Dans Une Revue European Journal of Combinatorics Année : 2010

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"@w"("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 [B.C.V. Ung, Combinatorial identities for series of quasi-symmetric functions, in: Proc. FPSAC'08, Toronto, 2008].

Dates et versions

hal-00484694 , version 1 (18-05-2010)

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Citer

Florent Hivert, Jean-Christophe Novelli, Jean-Yves Thibon. Inversion of some series of free quasi-symmetric functions. European Journal of Combinatorics, 2010, 31 (1), pp.29-33. ⟨10.1016/j.ejc.2009.05.004⟩. ⟨hal-00484694⟩
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