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Communication Dans Un Congrès Discrete Mathematics and Theoretical Computer Science Année : 2020

On (non-) freeness of some tridendriform algebras

Vincent Vong
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Résumé

We present some results on the freeness or non freeness of some tridendriform algebras. In particular, we give a combinatorial proof of the freeness of WQSym, an algebra based on packed words, result already known with an algebraic proof. Then, we prove the non-freeness of an another tridendriform algebra, PQSym, a conjecture remained open. The method of these proofs is generalizable, in particular it has been used to prove the freeness of the dendriform algebra FQSym and the quadrialgebra of 2-permutations.

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Dates et versions

hal-02166325 , version 1 (26-06-2019)

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Vincent Vong. On (non-) freeness of some tridendriform algebras. 28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada. ⟨10.46298/dmtcs.6350⟩. ⟨hal-02166325⟩
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